{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "epoch 20,x1 -0.943467,x2 -0.000073\n"
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 394.160937 262.19625\" width=\"394.160937pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.19625 \nL 394.160937 262.19625 \nL 394.160937 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 52.160938 224.64 \nL 386.960938 224.64 \nL 386.960938 7.2 \nL 52.160938 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m586ac29157\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"78.317188\" xlink:href=\"#m586ac29157\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- −5 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(70.946094 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"130.629688\" xlink:href=\"#m586ac29157\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- −4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(123.258594 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"182.942188\" xlink:href=\"#m586ac29157\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- −3 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(175.571094 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.254688\" xlink:href=\"#m586ac29157\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- −2 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(227.883594 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"287.567188\" xlink:href=\"#m586ac29157\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- −1 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(280.196094 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"339.879688\" xlink:href=\"#m586ac29157\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(336.698438 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- x1 -->\n     <defs>\n      <path d=\"M 54.890625 54.6875 \nL 35.109375 28.078125 \nL 55.90625 0 \nL 45.3125 0 \nL 29.390625 21.484375 \nL 13.484375 0 \nL 2.875 0 \nL 24.125 28.609375 \nL 4.6875 54.6875 \nL 15.28125 54.6875 \nL 29.78125 35.203125 \nL 44.28125 54.6875 \nz\n\" id=\"DejaVuSans-120\"/>\n     </defs>\n     <g transform=\"translate(213.420313 252.916562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-120\"/>\n      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-49\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m0451b80695\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m0451b80695\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- −3.0 -->\n      <defs>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g transform=\"translate(20.878125 228.439219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m0451b80695\" y=\"199.986939\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- −2.5 -->\n      <g transform=\"translate(20.878125 203.786158)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m0451b80695\" y=\"175.333878\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −2.0 -->\n      <g transform=\"translate(20.878125 179.133096)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m0451b80695\" y=\"150.680816\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- −1.5 -->\n      <g transform=\"translate(20.878125 154.480035)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m0451b80695\" y=\"126.027755\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- −1.0 -->\n      <g transform=\"translate(20.878125 129.826974)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m0451b80695\" y=\"101.374694\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- −0.5 -->\n      <g transform=\"translate(20.878125 105.173913)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m0451b80695\" y=\"76.721633\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 0.0 -->\n      <g transform=\"translate(29.257812 80.520851)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m0451b80695\" y=\"52.068571\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0.5 -->\n      <g transform=\"translate(29.257812 55.86779)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_9\">\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#m0451b80695\" y=\"27.41551\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 1.0 -->\n      <g transform=\"translate(29.257812 31.214729)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_17\">\n     <!-- x2 -->\n     <g transform=\"translate(14.798438 122.060625)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-120\"/>\n      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-50\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"LineCollection_2\">\n    <path clip-path=\"url(#pc6589ec2e9)\" d=\"M 386.960938 136.273567 \nL 381.729688 136.441208 \nL 376.498437 136.589127 \nL 371.267187 136.717322 \nL 366.035937 136.825796 \nL 360.804688 136.914547 \nL 355.573438 136.983576 \nL 350.342187 137.032882 \nL 345.110937 137.062465 \nL 339.879687 137.072327 \nL 334.648438 137.062465 \nL 329.417188 137.032882 \nL 324.185937 136.983576 \nL 318.954687 136.914547 \nL 313.723437 136.825796 \nL 308.492188 136.717322 \nL 303.260938 136.589127 \nL 298.029687 136.441208 \nL 292.798437 136.273567 \nL 287.567187 136.086204 \nL 282.585045 135.88898 \nL 282.335938 135.878261 \nL 277.104688 135.63173 \nL 271.873438 135.363762 \nL 266.642187 135.074357 \nL 261.410937 134.763514 \nL 256.179688 134.431233 \nL 250.948437 134.077516 \nL 245.717187 133.70236 \nL 240.485937 133.305768 \nL 235.254687 132.887737 \nL 230.023438 132.44827 \nL 224.792188 131.987365 \nL 219.560937 131.505022 \nL 214.329687 131.001242 \nL 213.902647 130.958367 \nL 209.098437 130.430087 \nL 203.867188 129.83137 \nL 198.635937 129.209174 \nL 193.404687 128.563499 \nL 188.173438 127.894344 \nL 182.942187 127.20171 \nL 177.710938 126.485598 \nL 174.472545 126.027755 \nL 172.479688 125.716348 \nL 167.248437 124.872954 \nL 162.017188 124.003609 \nL 156.785937 123.108314 \nL 151.554688 122.187068 \nL 146.323437 121.239871 \nL 145.556187 121.097143 \nL 141.092187 120.169028 \nL 135.860938 119.052389 \nL 130.629687 117.906747 \nL 125.398438 116.732101 \nL 122.94038 116.166531 \nL 120.167187 115.443374 \nL 114.935937 114.046367 \nL 109.704688 112.61649 \nL 104.767328 111.235918 \nL 104.473437 111.141099 \nL 99.242188 109.415385 \nL 94.010937 107.651743 \nL 90.101266 106.305306 \nL 88.779687 105.767421 \nL 83.548437 103.593469 \nL 78.317187 101.374694 \nL 78.317187 101.374694 \nL 73.085938 98.608073 \nL 69.07362 96.444082 \nL 67.854688 95.598834 \nL 62.623438 91.900875 \nL 62.085645 91.513469 \nL 57.392187 86.780082 \nL 57.200215 86.582857 \nL 54.320628 81.652245 \nL 53.360765 76.721633 \nL 54.320628 71.79102 \nL 57.200215 66.860408 \nL 57.392187 66.663184 \nL 62.085645 61.929796 \nL 62.623438 61.542391 \nL 67.854688 57.844431 \nL 69.07362 56.999184 \nL 73.085938 54.835193 \nL 78.317187 52.068571 \nL 78.317188 52.068571 \nL 83.548437 49.849796 \nL 88.779687 47.675844 \nL 90.101266 47.137959 \nL 94.010937 45.791523 \nL 99.242188 44.027881 \nL 104.473437 42.302166 \nL 104.767328 42.207347 \nL 109.704688 40.826776 \nL 114.935937 39.396898 \nL 120.167187 37.999891 \nL 122.94038 37.276735 \nL 125.398438 36.711164 \nL 130.629687 35.536519 \nL 135.860938 34.390876 \nL 141.092187 33.274238 \nL 145.556188 32.346122 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_3\">\n    <path clip-path=\"url(#pc6589ec2e9)\" d=\"M 386.960938 161.52112 \nL 381.729688 161.640863 \nL 376.498437 161.746519 \nL 371.267187 161.838087 \nL 366.035937 161.915569 \nL 360.804688 161.978962 \nL 355.573438 162.028268 \nL 350.342187 162.063487 \nL 345.110937 162.084618 \nL 339.879687 162.091662 \nL 334.648438 162.084618 \nL 329.417188 162.063487 \nL 324.185937 162.028268 \nL 318.954687 161.978962 \nL 313.723437 161.915569 \nL 308.492188 161.838087 \nL 303.260938 161.746519 \nL 298.029687 161.640863 \nL 292.798437 161.52112 \nL 287.567187 161.387289 \nL 282.335938 161.23937 \nL 277.104688 161.077364 \nL 271.873438 160.901271 \nL 266.642187 160.71109 \nL 262.312877 160.542041 \nL 261.410937 160.504688 \nL 256.179688 160.273098 \nL 250.948438 160.026568 \nL 245.717188 159.765096 \nL 240.485938 159.488683 \nL 235.254687 159.197328 \nL 230.023438 158.891033 \nL 224.792188 158.569796 \nL 219.560937 158.233618 \nL 214.329687 157.882498 \nL 209.098437 157.516438 \nL 203.867188 157.135436 \nL 198.635937 156.739493 \nL 193.404687 156.328609 \nL 188.173438 155.902783 \nL 184.715493 155.611429 \nL 182.942187 155.452377 \nL 177.710938 154.967268 \nL 172.479687 154.466254 \nL 167.248437 153.949335 \nL 162.017188 153.416511 \nL 156.785937 152.867781 \nL 151.554688 152.303147 \nL 146.323437 151.722607 \nL 141.092187 151.126162 \nL 137.287642 150.680816 \nL 135.860938 150.502294 \nL 130.629687 149.830711 \nL 125.398438 149.142125 \nL 120.167187 148.436538 \nL 114.935937 147.713948 \nL 109.704688 146.974356 \nL 104.473437 146.217762 \nL 101.311693 145.750204 \nL 99.242188 145.421497 \nL 94.010937 144.572336 \nL 88.779687 143.704913 \nL 83.548437 142.819229 \nL 78.317187 141.915283 \nL 73.085938 140.993076 \nL 72.12095 140.819592 \nL 67.854688 139.991249 \nL 62.623438 138.95582 \nL 57.392187 137.900669 \nL 52.160937 136.825796 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_4\">\n    <path clip-path=\"url(#pc6589ec2e9)\" d=\"M 386.960938 180.832084 \nL 381.729688 180.929549 \nL 376.498437 181.015548 \nL 371.267187 181.090081 \nL 366.035937 181.153147 \nL 360.804688 181.204746 \nL 355.573438 181.244879 \nL 350.342187 181.273545 \nL 345.110937 181.290745 \nL 339.879687 181.296478 \nL 334.648438 181.290745 \nL 329.417188 181.273545 \nL 324.185937 181.244879 \nL 318.954687 181.204746 \nL 313.723437 181.153147 \nL 308.492188 181.090081 \nL 303.260938 181.015548 \nL 298.029687 180.929549 \nL 292.798437 180.832084 \nL 287.567187 180.723151 \nL 282.335938 180.602753 \nL 277.104688 180.470888 \nL 271.873438 180.327556 \nL 269.742187 180.26449 \nL 266.642187 180.168283 \nL 261.410937 179.993907 \nL 256.179688 179.807506 \nL 250.948438 179.609079 \nL 245.717187 179.398626 \nL 240.485937 179.176147 \nL 235.254687 178.941643 \nL 230.023438 178.695112 \nL 224.792188 178.436556 \nL 219.560937 178.165973 \nL 214.329687 177.883365 \nL 209.098437 177.588731 \nL 203.867188 177.282071 \nL 198.635937 176.963385 \nL 193.404687 176.632673 \nL 188.173438 176.289935 \nL 182.942187 175.935172 \nL 177.710938 175.568382 \nL 174.472545 175.333878 \nL 172.479687 175.182166 \nL 167.248437 174.771282 \nL 162.017188 174.347755 \nL 156.785937 173.911586 \nL 151.554688 173.462773 \nL 146.323437 173.001319 \nL 141.092187 172.527221 \nL 135.860938 172.040481 \nL 130.629687 171.541099 \nL 125.398438 171.029074 \nL 120.167187 170.504406 \nL 119.182482 170.403265 \nL 114.935937 169.943519 \nL 109.704688 169.363839 \nL 104.473437 168.770833 \nL 99.242188 168.164501 \nL 94.010937 167.544843 \nL 88.779687 166.911859 \nL 83.548437 166.265549 \nL 78.317187 165.605913 \nL 77.281296 165.472653 \nL 73.085938 164.902111 \nL 67.854688 164.176606 \nL 62.623438 163.437015 \nL 57.392187 162.683335 \nL 52.160937 161.915569 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_5\">\n    <path clip-path=\"url(#pc6589ec2e9)\" d=\"M 386.960938 197.06379 \nL 381.729688 197.149321 \nL 376.498437 197.22479 \nL 371.267187 197.290196 \nL 366.035937 197.345539 \nL 360.804688 197.39082 \nL 355.573438 197.426039 \nL 350.342187 197.451195 \nL 345.110937 197.466289 \nL 339.879687 197.47132 \nL 334.648438 197.466289 \nL 329.417188 197.451195 \nL 324.185937 197.426039 \nL 318.954687 197.39082 \nL 313.723437 197.345539 \nL 308.492188 197.290196 \nL 303.260938 197.22479 \nL 298.029687 197.149321 \nL 292.798437 197.06379 \nL 287.567187 196.968197 \nL 282.335938 196.862541 \nL 277.104688 196.746822 \nL 271.873438 196.621041 \nL 266.642187 196.485198 \nL 261.410937 196.339292 \nL 256.179688 196.183324 \nL 250.948438 196.017293 \nL 245.717187 195.8412 \nL 240.485937 195.655044 \nL 235.254687 195.458825 \nL 230.023438 195.252545 \nL 225.278815 195.056327 \nL 224.792188 195.035345 \nL 219.560937 194.799305 \nL 214.329687 194.552775 \nL 209.098437 194.295753 \nL 203.867188 194.028241 \nL 198.635937 193.750239 \nL 193.404687 193.461746 \nL 188.173438 193.162762 \nL 182.942187 192.853287 \nL 177.710938 192.533322 \nL 172.479687 192.202866 \nL 167.248437 191.861919 \nL 162.017188 191.510482 \nL 156.785937 191.148554 \nL 151.554688 190.776135 \nL 146.323437 190.393226 \nL 142.766187 190.125714 \nL 141.092187 189.994231 \nL 135.860937 189.57239 \nL 130.629687 189.139592 \nL 125.398438 188.695837 \nL 120.167187 188.241125 \nL 114.935937 187.775456 \nL 109.704688 187.29883 \nL 104.473437 186.811247 \nL 99.242188 186.312707 \nL 94.010937 185.803211 \nL 88.779687 185.282757 \nL 87.916801 185.195102 \nL 83.548437 184.730707 \nL 78.317187 184.163113 \nL 73.085938 183.584053 \nL 67.854688 182.993526 \nL 62.623438 182.391533 \nL 57.392187 181.778073 \nL 52.160937 181.153147 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_6\">\n    <path clip-path=\"url(#pc6589ec2e9)\" d=\"M 386.960938 211.367688 \nL 381.729688 211.443889 \nL 376.498437 211.511124 \nL 371.267187 211.569395 \nL 366.035937 211.618701 \nL 360.804688 211.659043 \nL 355.573438 211.690419 \nL 350.342187 211.712831 \nL 345.110937 211.726278 \nL 339.879687 211.730761 \nL 334.648438 211.726278 \nL 329.417188 211.712831 \nL 324.185937 211.690419 \nL 318.954687 211.659043 \nL 313.723437 211.618701 \nL 308.492188 211.569395 \nL 303.260938 211.511124 \nL 298.029687 211.443889 \nL 292.798437 211.367688 \nL 287.567187 211.282523 \nL 282.335938 211.188393 \nL 277.104688 211.085299 \nL 271.873438 210.973239 \nL 266.642187 210.852215 \nL 261.410937 210.722226 \nL 256.179688 210.583273 \nL 250.948438 210.435354 \nL 245.717187 210.278471 \nL 240.485937 210.112623 \nL 235.254687 209.937811 \nL 232.702858 209.848163 \nL 230.023438 209.750481 \nL 224.792188 209.550466 \nL 219.560937 209.341147 \nL 214.329687 209.122526 \nL 209.098437 208.894601 \nL 203.867188 208.657374 \nL 198.635937 208.410843 \nL 193.404687 208.15501 \nL 188.173438 207.889873 \nL 182.942187 207.615433 \nL 177.710938 207.33169 \nL 172.479687 207.038645 \nL 167.248437 206.736296 \nL 162.017188 206.424644 \nL 156.785937 206.103689 \nL 151.554688 205.773431 \nL 146.323437 205.43387 \nL 141.092187 205.085006 \nL 138.646408 204.917551 \nL 135.860938 204.71936 \nL 130.629687 204.337479 \nL 125.398438 203.94593 \nL 120.167187 203.544714 \nL 114.935937 203.13383 \nL 109.704688 202.713277 \nL 104.473437 202.283057 \nL 99.242188 201.843169 \nL 94.010937 201.393613 \nL 88.779687 200.93439 \nL 83.548437 200.465498 \nL 78.317187 199.986939 \nL 78.317187 199.986939 \nL 73.085938 199.478784 \nL 67.854688 198.960566 \nL 62.623438 198.432287 \nL 57.392187 197.893944 \nL 52.160937 197.345539 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_7\">\n    <path clip-path=\"url(#pc6589ec2e9)\" d=\"M 339.879687 224.64 \nL 334.648438 224.635822 \nL 329.417188 224.623286 \nL 324.185937 224.602394 \nL 318.954687 224.573144 \nL 313.723437 224.535538 \nL 308.492188 224.489575 \nL 303.260938 224.435254 \nL 298.029687 224.372577 \nL 292.798437 224.301543 \nL 287.567187 224.222152 \nL 282.335938 224.134403 \nL 277.104688 224.038298 \nL 271.873438 223.933836 \nL 266.642187 223.821017 \nL 261.410937 223.699841 \nL 256.179688 223.570308 \nL 250.948438 223.432418 \nL 245.717187 223.286171 \nL 240.485937 223.131567 \nL 235.254687 222.968606 \nL 230.023438 222.797288 \nL 224.792188 222.617613 \nL 219.560937 222.429581 \nL 214.329687 222.233193 \nL 209.098437 222.028447 \nL 203.867188 221.815344 \nL 198.635937 221.593884 \nL 193.404687 221.364068 \nL 188.173438 221.125894 \nL 182.942187 220.879364 \nL 177.710938 220.624476 \nL 172.479687 220.361231 \nL 167.248437 220.08963 \nL 162.017188 219.809671 \nL 160.197622 219.709388 \nL 156.785937 219.514758 \nL 151.554688 219.207676 \nL 146.323437 218.891944 \nL 141.092187 218.567562 \nL 135.860938 218.234529 \nL 130.629687 217.892846 \nL 125.398438 217.542513 \nL 120.167187 217.18353 \nL 114.935937 216.815897 \nL 109.704688 216.439613 \nL 104.473437 216.05468 \nL 99.242188 215.661096 \nL 94.010937 215.258861 \nL 88.779687 214.847977 \nL 87.916801 214.778776 \nL 83.548437 214.415703 \nL 78.317187 213.971948 \nL 73.085938 213.519228 \nL 67.854688 213.057544 \nL 62.623438 212.586894 \nL 57.392187 212.10728 \nL 52.160937 211.618701 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n    <path clip-path=\"url(#pc6589ec2e9)\" d=\"M 386.960938 224.301543 \nL 381.729688 224.372577 \nL 376.498437 224.435254 \nL 371.267187 224.489575 \nL 366.035937 224.535538 \nL 360.804688 224.573144 \nL 355.573438 224.602394 \nL 350.342187 224.623286 \nL 345.110937 224.635822 \nL 339.879687 224.64 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_8\">\n    <path clip-path=\"url(#pc6589ec2e9)\" d=\"M 53.360765 224.64 \nL 52.160937 224.535538 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_9\"/>\n   <g id=\"line2d_16\">\n    <path clip-path=\"url(#pc6589ec2e9)\" d=\"M 78.317188 175.333878 \nL 99.242188 17.554286 \nL 118.493188 112.222041 \nL 136.204108 55.421388 \nL 152.498154 89.50178 \nL 167.488677 69.053544 \nL 181.279957 81.322486 \nL 193.967936 73.961121 \nL 205.640876 78.37794 \nL 216.379981 75.727848 \nL 226.259957 77.317903 \nL 235.349536 76.36387 \nL 243.711948 76.93629 \nL 251.405367 76.592838 \nL 258.483313 76.798909 \nL 264.995023 76.675267 \nL 270.985796 76.749452 \nL 276.497307 76.704941 \nL 281.567898 76.731648 \nL 286.232841 76.715624 \nL 290.524589 76.725238 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"m7b1e8167fc\" style=\"stroke:#ff7f0e;\"/>\n    </defs>\n    <g clip-path=\"url(#pc6589ec2e9)\">\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"78.317188\" xlink:href=\"#m7b1e8167fc\" y=\"175.333878\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"99.242188\" xlink:href=\"#m7b1e8167fc\" y=\"17.554286\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"118.493188\" xlink:href=\"#m7b1e8167fc\" y=\"112.222041\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"136.204108\" xlink:href=\"#m7b1e8167fc\" y=\"55.421388\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"152.498154\" xlink:href=\"#m7b1e8167fc\" y=\"89.50178\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"167.488677\" xlink:href=\"#m7b1e8167fc\" y=\"69.053544\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"181.279957\" xlink:href=\"#m7b1e8167fc\" y=\"81.322486\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"193.967936\" xlink:href=\"#m7b1e8167fc\" y=\"73.961121\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"205.640876\" xlink:href=\"#m7b1e8167fc\" y=\"78.37794\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"216.379981\" xlink:href=\"#m7b1e8167fc\" y=\"75.727848\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"226.259957\" xlink:href=\"#m7b1e8167fc\" y=\"77.317903\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"235.349536\" xlink:href=\"#m7b1e8167fc\" y=\"76.36387\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"243.711948\" xlink:href=\"#m7b1e8167fc\" y=\"76.93629\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"251.405367\" xlink:href=\"#m7b1e8167fc\" y=\"76.592838\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"258.483313\" xlink:href=\"#m7b1e8167fc\" y=\"76.798909\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"264.995023\" xlink:href=\"#m7b1e8167fc\" y=\"76.675267\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"270.985796\" xlink:href=\"#m7b1e8167fc\" y=\"76.749452\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"276.497307\" xlink:href=\"#m7b1e8167fc\" y=\"76.704941\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"281.567898\" xlink:href=\"#m7b1e8167fc\" y=\"76.731648\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"286.232841\" xlink:href=\"#m7b1e8167fc\" y=\"76.715624\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"290.524589\" xlink:href=\"#m7b1e8167fc\" y=\"76.725238\"/>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 52.160938 224.64 \nL 52.160938 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 386.960938 224.64 \nL 386.960938 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 52.160937 224.64 \nL 386.960938 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 52.160937 7.2 \nL 386.960938 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pc6589ec2e9\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"52.160938\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt \n",
    "import torch\n",
    "import d2lzh as d2l \n",
    "\n",
    "eta = 0.4 #learning rate\n",
    "\n",
    "def f_2d(x1,x2):\n",
    "    return 0.1 * x1 ** 2 + 2 * x2 ** 2\n",
    "\n",
    "def gd_2d(x1,x2,s1,s2):\n",
    "    return (x1 - eta * 0.2 * x1 , x2 -  eta * 4 * x2,0,0)\n",
    "\n",
    "d2l.show_trace_2d(f_2d,d2l.train_2d(gd_2d))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "从上图可以看出，同一位置，目标函数在x2方向的梯度要比在x1方向的大，在给定的学习率的情况下，在x2方向的移动幅度要比在x1方向的大。这就需要一个较小的学习率避免在x2方向下降幅度过大导致错过最优点。但小的学习率会导致x1方向的下降比较缓慢"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "epoch 20,x1 -0.387814,x2 -1673.365109\n"
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 403.707812 262.19625\" width=\"403.707812pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.19625 \nL 403.707812 262.19625 \nL 403.707812 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 61.707813 224.64 \nL 396.507812 224.64 \nL 396.507812 7.2 \nL 61.707813 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m23ba4e3ad7\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"87.864063\" xlink:href=\"#m23ba4e3ad7\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- −5 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(80.492969 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"140.176563\" xlink:href=\"#m23ba4e3ad7\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- −4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(132.805469 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"192.489063\" xlink:href=\"#m23ba4e3ad7\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- −3 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(185.117969 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"244.801563\" xlink:href=\"#m23ba4e3ad7\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- −2 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(237.430469 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"297.114063\" xlink:href=\"#m23ba4e3ad7\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- −1 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(289.742969 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"349.426563\" xlink:href=\"#m23ba4e3ad7\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(346.245313 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- x1 -->\n     <defs>\n      <path d=\"M 54.890625 54.6875 \nL 35.109375 28.078125 \nL 55.90625 0 \nL 45.3125 0 \nL 29.390625 21.484375 \nL 13.484375 0 \nL 2.875 0 \nL 24.125 28.609375 \nL 4.6875 54.6875 \nL 15.28125 54.6875 \nL 29.78125 35.203125 \nL 44.28125 54.6875 \nz\n\" id=\"DejaVuSans-120\"/>\n     </defs>\n     <g transform=\"translate(222.967188 252.916562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-120\"/>\n      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-49\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"me45e64c198\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"61.707813\" xlink:href=\"#me45e64c198\" y=\"202.810033\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- −1500 -->\n      <g transform=\"translate(20.878125 206.609252)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"211.035156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"274.658203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"61.707813\" xlink:href=\"#me45e64c198\" y=\"168.355779\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- −1000 -->\n      <g transform=\"translate(20.878125 172.154998)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"211.035156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"274.658203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"61.707813\" xlink:href=\"#me45e64c198\" y=\"133.901526\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −500 -->\n      <g transform=\"translate(27.240625 137.700745)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"211.035156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"61.707813\" xlink:href=\"#me45e64c198\" y=\"99.447273\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0 -->\n      <g transform=\"translate(48.345313 103.246491)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"61.707813\" xlink:href=\"#me45e64c198\" y=\"64.993019\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g transform=\"translate(35.620312 68.792238)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"61.707813\" xlink:href=\"#me45e64c198\" y=\"30.538766\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 1000 -->\n      <g transform=\"translate(29.257812 34.337985)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_14\">\n     <!-- x2 -->\n     <g transform=\"translate(14.798438 122.060625)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-120\"/>\n      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-50\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"LineCollection_2\">\n    <path clip-path=\"url(#p0c0d427efe)\" d=\"M 396.507812 99.5305 \nL 391.276563 99.530735 \nL 386.045312 99.530941 \nL 380.814062 99.531121 \nL 375.582812 99.531272 \nL 370.351562 99.531396 \nL 365.120313 99.531493 \nL 359.889062 99.531562 \nL 354.657812 99.531603 \nL 349.426562 99.531617 \nL 344.195312 99.531603 \nL 338.964063 99.531562 \nL 333.732812 99.531493 \nL 328.501562 99.531396 \nL 323.270312 99.531272 \nL 318.039062 99.531121 \nL 312.807813 99.530941 \nL 307.576562 99.530735 \nL 302.345312 99.5305 \nL 297.114062 99.530239 \nL 292.13192 99.529963 \nL 291.882812 99.529948 \nL 286.651563 99.529603 \nL 281.420313 99.529229 \nL 276.189062 99.528824 \nL 270.957812 99.52839 \nL 265.726562 99.527926 \nL 260.495312 99.527431 \nL 255.264062 99.526907 \nL 250.032812 99.526353 \nL 244.801562 99.525769 \nL 239.570312 99.525154 \nL 234.339063 99.52451 \nL 229.107812 99.523836 \nL 223.876562 99.523132 \nL 223.449522 99.523072 \nL 218.645312 99.522334 \nL 213.414062 99.521497 \nL 208.182812 99.520627 \nL 202.951562 99.519725 \nL 197.720313 99.51879 \nL 192.489062 99.517822 \nL 187.257812 99.516821 \nL 184.01942 99.516181 \nL 182.026563 99.515746 \nL 176.795312 99.514567 \nL 171.564063 99.513352 \nL 166.332812 99.512101 \nL 161.101562 99.510814 \nL 155.870312 99.50949 \nL 155.103062 99.50929 \nL 150.639062 99.507993 \nL 145.407813 99.506433 \nL 140.176562 99.504832 \nL 134.945312 99.50319 \nL 132.487255 99.5024 \nL 129.714062 99.501389 \nL 124.482812 99.499436 \nL 119.251563 99.497438 \nL 114.314203 99.495509 \nL 114.020312 99.495376 \nL 108.789062 99.492964 \nL 103.557812 99.4905 \nL 99.648141 99.488618 \nL 98.326562 99.487866 \nL 93.095312 99.484828 \nL 87.864062 99.481727 \nL 87.864062 99.481727 \nL 82.632812 99.47786 \nL 78.620495 99.474836 \nL 77.401563 99.473655 \nL 72.170313 99.468487 \nL 71.63252 99.467945 \nL 66.939062 99.46133 \nL 66.74709 99.461054 \nL 63.867503 99.454164 \nL 62.90764 99.447273 \nL 63.867503 99.440382 \nL 66.74709 99.433491 \nL 66.939062 99.433215 \nL 71.63252 99.4266 \nL 72.170313 99.426059 \nL 77.401563 99.420891 \nL 78.620495 99.419709 \nL 82.632812 99.416685 \nL 87.864062 99.412818 \nL 87.864063 99.412818 \nL 93.095312 99.409718 \nL 98.326562 99.406679 \nL 99.648141 99.405928 \nL 103.557812 99.404046 \nL 108.789062 99.401581 \nL 114.020312 99.399169 \nL 114.314203 99.399037 \nL 119.251563 99.397107 \nL 124.482812 99.395109 \nL 129.714062 99.393157 \nL 132.487255 99.392146 \nL 134.945312 99.391356 \nL 140.176562 99.389714 \nL 145.407813 99.388113 \nL 150.639062 99.386552 \nL 155.103063 99.385255 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_3\">\n    <path clip-path=\"url(#p0c0d427efe)\" d=\"M 396.507812 99.565786 \nL 391.276563 99.565953 \nL 386.045312 99.566101 \nL 380.814062 99.566228 \nL 375.582812 99.566337 \nL 370.351562 99.566425 \nL 365.120313 99.566494 \nL 359.889062 99.566544 \nL 354.657812 99.566573 \nL 349.426562 99.566583 \nL 344.195312 99.566573 \nL 338.964063 99.566544 \nL 333.732812 99.566494 \nL 328.501562 99.566425 \nL 323.270312 99.566337 \nL 318.039062 99.566228 \nL 312.807813 99.566101 \nL 307.576562 99.565953 \nL 302.345312 99.565786 \nL 297.114062 99.565598 \nL 291.882812 99.565392 \nL 286.651563 99.565165 \nL 281.420313 99.564919 \nL 276.189062 99.564653 \nL 271.859752 99.564417 \nL 270.957812 99.564365 \nL 265.726562 99.564041 \nL 260.495313 99.563697 \nL 255.264063 99.563331 \nL 250.032813 99.562945 \nL 244.801562 99.562538 \nL 239.570312 99.56211 \nL 234.339063 99.561661 \nL 229.107812 99.561191 \nL 223.876562 99.5607 \nL 218.645312 99.560189 \nL 213.414062 99.559656 \nL 208.182812 99.559103 \nL 202.951562 99.558529 \nL 197.720313 99.557934 \nL 194.262368 99.557526 \nL 192.489062 99.557304 \nL 187.257812 99.556626 \nL 182.026562 99.555926 \nL 176.795312 99.555203 \nL 171.564063 99.554459 \nL 166.332812 99.553692 \nL 161.101562 99.552903 \nL 155.870312 99.552091 \nL 150.639062 99.551258 \nL 146.834517 99.550635 \nL 145.407813 99.550386 \nL 140.176562 99.549447 \nL 134.945312 99.548485 \nL 129.714062 99.547499 \nL 124.482812 99.546489 \nL 119.251563 99.545455 \nL 114.020312 99.544398 \nL 110.858568 99.543745 \nL 108.789062 99.543285 \nL 103.557812 99.542098 \nL 98.326562 99.540886 \nL 93.095312 99.539648 \nL 87.864062 99.538385 \nL 82.632812 99.537096 \nL 81.667825 99.536854 \nL 77.401563 99.535696 \nL 72.170313 99.534249 \nL 66.939062 99.532774 \nL 61.707812 99.531272 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_4\">\n    <path clip-path=\"url(#p0c0d427efe)\" d=\"M 396.507812 99.592774 \nL 391.276563 99.59291 \nL 386.045312 99.59303 \nL 380.814062 99.593134 \nL 375.582812 99.593223 \nL 370.351562 99.593295 \nL 365.120313 99.593351 \nL 359.889062 99.593391 \nL 354.657812 99.593415 \nL 349.426562 99.593423 \nL 344.195312 99.593415 \nL 338.964063 99.593391 \nL 333.732812 99.593351 \nL 328.501562 99.593295 \nL 323.270312 99.593223 \nL 318.039062 99.593134 \nL 312.807813 99.59303 \nL 307.576562 99.59291 \nL 302.345312 99.592774 \nL 297.114062 99.592622 \nL 291.882812 99.592453 \nL 286.651563 99.592269 \nL 281.420313 99.592069 \nL 279.289062 99.591981 \nL 276.189062 99.591846 \nL 270.957812 99.591602 \nL 265.726562 99.591342 \nL 260.495313 99.591065 \nL 255.264062 99.59077 \nL 250.032812 99.59046 \nL 244.801562 99.590132 \nL 239.570312 99.589787 \nL 234.339063 99.589426 \nL 229.107812 99.589048 \nL 223.876562 99.588653 \nL 218.645312 99.588241 \nL 213.414062 99.587812 \nL 208.182812 99.587367 \nL 202.951562 99.586905 \nL 197.720313 99.586426 \nL 192.489062 99.58593 \nL 187.257812 99.585417 \nL 184.01942 99.58509 \nL 182.026562 99.584878 \nL 176.795312 99.584303 \nL 171.564063 99.583712 \nL 166.332812 99.583102 \nL 161.101562 99.582475 \nL 155.870312 99.58183 \nL 150.639062 99.581167 \nL 145.407813 99.580487 \nL 140.176562 99.579789 \nL 134.945312 99.579073 \nL 129.714062 99.57834 \nL 128.729357 99.578199 \nL 124.482812 99.577556 \nL 119.251563 99.576746 \nL 114.020312 99.575917 \nL 108.789062 99.57507 \nL 103.557812 99.574204 \nL 98.326562 99.573319 \nL 93.095312 99.572416 \nL 87.864062 99.571494 \nL 86.828171 99.571308 \nL 82.632812 99.570511 \nL 77.401563 99.569497 \nL 72.170313 99.568463 \nL 66.939062 99.56741 \nL 61.707812 99.566337 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_5\">\n    <path clip-path=\"url(#p0c0d427efe)\" d=\"M 396.507812 99.615459 \nL 391.276563 99.615578 \nL 386.045312 99.615684 \nL 380.814062 99.615775 \nL 375.582812 99.615852 \nL 370.351562 99.615916 \nL 365.120313 99.615965 \nL 359.889062 99.616 \nL 354.657812 99.616021 \nL 349.426562 99.616028 \nL 344.195312 99.616021 \nL 338.964063 99.616 \nL 333.732812 99.615965 \nL 328.501562 99.615916 \nL 323.270312 99.615852 \nL 318.039062 99.615775 \nL 312.807813 99.615684 \nL 307.576562 99.615578 \nL 302.345312 99.615459 \nL 297.114062 99.615325 \nL 291.882812 99.615177 \nL 286.651563 99.615016 \nL 281.420313 99.61484 \nL 276.189062 99.61465 \nL 270.957812 99.614446 \nL 265.726562 99.614228 \nL 260.495313 99.613996 \nL 255.264062 99.61375 \nL 250.032812 99.61349 \nL 244.801562 99.613216 \nL 239.570312 99.612927 \nL 234.82569 99.612653 \nL 234.339063 99.612624 \nL 229.107812 99.612294 \nL 223.876562 99.611949 \nL 218.645312 99.61159 \nL 213.414062 99.611216 \nL 208.182812 99.610828 \nL 202.951562 99.610425 \nL 197.720313 99.610007 \nL 192.489062 99.609574 \nL 187.257812 99.609127 \nL 182.026562 99.608665 \nL 176.795312 99.608189 \nL 171.564063 99.607698 \nL 166.332812 99.607192 \nL 161.101562 99.606671 \nL 155.870312 99.606136 \nL 152.313062 99.605762 \nL 150.639062 99.605579 \nL 145.407812 99.604989 \nL 140.176562 99.604384 \nL 134.945312 99.603764 \nL 129.714062 99.603128 \nL 124.482812 99.602478 \nL 119.251563 99.601812 \nL 114.020312 99.60113 \nL 108.789062 99.600433 \nL 103.557812 99.599721 \nL 98.326562 99.598994 \nL 97.463676 99.598871 \nL 93.095312 99.598222 \nL 87.864062 99.597429 \nL 82.632812 99.59662 \nL 77.401563 99.595795 \nL 72.170313 99.594953 \nL 66.939062 99.594096 \nL 61.707812 99.593223 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_6\">\n    <path clip-path=\"url(#p0c0d427efe)\" d=\"M 396.507812 99.635449 \nL 391.276563 99.635556 \nL 386.045312 99.63565 \nL 380.814062 99.635731 \nL 375.582812 99.6358 \nL 370.351562 99.635857 \nL 365.120313 99.6359 \nL 359.889062 99.635932 \nL 354.657812 99.63595 \nL 349.426562 99.635957 \nL 344.195312 99.63595 \nL 338.964063 99.635932 \nL 333.732812 99.6359 \nL 328.501562 99.635857 \nL 323.270312 99.6358 \nL 318.039062 99.635731 \nL 312.807813 99.63565 \nL 307.576562 99.635556 \nL 302.345312 99.635449 \nL 297.114062 99.63533 \nL 291.882812 99.635199 \nL 286.651563 99.635055 \nL 281.420313 99.634898 \nL 276.189062 99.634729 \nL 270.957812 99.634547 \nL 265.726562 99.634353 \nL 260.495313 99.634146 \nL 255.264062 99.633927 \nL 250.032812 99.633695 \nL 244.801562 99.633451 \nL 242.249733 99.633326 \nL 239.570312 99.633189 \nL 234.339063 99.63291 \nL 229.107812 99.632617 \nL 223.876562 99.632312 \nL 218.645312 99.631993 \nL 213.414062 99.631661 \nL 208.182812 99.631317 \nL 202.951562 99.630959 \nL 197.720313 99.630589 \nL 192.489062 99.630205 \nL 187.257812 99.629809 \nL 182.026562 99.629399 \nL 176.795312 99.628977 \nL 171.564063 99.628541 \nL 166.332812 99.628093 \nL 161.101562 99.627631 \nL 155.870312 99.627156 \nL 150.639062 99.626669 \nL 148.193283 99.626435 \nL 145.407813 99.626158 \nL 140.176562 99.625624 \nL 134.945312 99.625077 \nL 129.714062 99.624516 \nL 124.482812 99.623942 \nL 119.251563 99.623354 \nL 114.020312 99.622753 \nL 108.789062 99.622138 \nL 103.557812 99.62151 \nL 98.326562 99.620868 \nL 93.095312 99.620213 \nL 87.864062 99.619544 \nL 87.864062 99.619544 \nL 82.632812 99.618834 \nL 77.401563 99.61811 \nL 72.170313 99.617371 \nL 66.939062 99.616619 \nL 61.707812 99.615852 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_7\">\n    <path clip-path=\"url(#p0c0d427efe)\" d=\"M 349.426562 99.653998 \nL 344.195312 99.653992 \nL 338.964063 99.653975 \nL 333.732812 99.653946 \nL 328.501562 99.653905 \nL 323.270312 99.653852 \nL 318.039062 99.653788 \nL 312.807813 99.653712 \nL 307.576562 99.653625 \nL 302.345312 99.653525 \nL 297.114062 99.653414 \nL 291.882812 99.653292 \nL 286.651563 99.653157 \nL 281.420313 99.653011 \nL 276.189062 99.652854 \nL 270.957812 99.652684 \nL 265.726562 99.652503 \nL 260.495313 99.652311 \nL 255.264062 99.652106 \nL 250.032812 99.65189 \nL 244.801562 99.651662 \nL 239.570312 99.651423 \nL 234.339063 99.651172 \nL 229.107812 99.650909 \nL 223.876562 99.650635 \nL 218.645312 99.650348 \nL 213.414062 99.650051 \nL 208.182812 99.649741 \nL 202.951562 99.64942 \nL 197.720313 99.649087 \nL 192.489062 99.648743 \nL 187.257812 99.648386 \nL 182.026562 99.648018 \nL 176.795312 99.647639 \nL 171.564063 99.647248 \nL 169.744497 99.647107 \nL 166.332812 99.646835 \nL 161.101562 99.646406 \nL 155.870312 99.645965 \nL 150.639062 99.645512 \nL 145.407813 99.645046 \nL 140.176562 99.644569 \nL 134.945312 99.644079 \nL 129.714062 99.643577 \nL 124.482812 99.643064 \nL 119.251563 99.642538 \nL 114.020312 99.642 \nL 108.789062 99.64145 \nL 103.557812 99.640887 \nL 98.326562 99.640313 \nL 97.463676 99.640217 \nL 93.095312 99.639709 \nL 87.864062 99.639089 \nL 82.632812 99.638456 \nL 77.401563 99.637811 \nL 72.170313 99.637153 \nL 66.939062 99.636483 \nL 61.707812 99.6358 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n    <path clip-path=\"url(#p0c0d427efe)\" d=\"M 396.507812 99.653525 \nL 391.276563 99.653625 \nL 386.045312 99.653712 \nL 380.814062 99.653788 \nL 375.582812 99.653852 \nL 370.351562 99.653905 \nL 365.120313 99.653946 \nL 359.889062 99.653975 \nL 354.657812 99.653992 \nL 349.426562 99.653998 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_8\">\n    <path clip-path=\"url(#p0c0d427efe)\" d=\"M 62.90764 99.653998 \nL 61.707812 99.653852 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_9\"/>\n   <g id=\"line2d_13\">\n    <path clip-path=\"url(#p0c0d427efe)\" d=\"M 87.864063 99.58509 \nL 119.251563 99.254329 \nL 146.872563 99.717394 \nL 171.179043 99.069103 \nL 192.568745 99.976711 \nL 211.391683 98.70606 \nL 227.955869 100.484971 \nL 242.532352 97.994495 \nL 255.359657 101.481161 \nL 266.647686 96.599829 \nL 276.581151 103.433694 \nL 285.3226 93.866283 \nL 293.015076 107.260658 \nL 299.784454 88.508533 \nL 305.741507 114.761509 \nL 310.983714 78.007342 \nL 315.596856 129.463175 \nL 319.65642 57.425009 \nL 323.228838 158.278442 \nL 326.372565 17.083636 \nL 329.139044 214.756364 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"me6d5369fe5\" style=\"stroke:#ff7f0e;\"/>\n    </defs>\n    <g clip-path=\"url(#p0c0d427efe)\">\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"87.864063\" xlink:href=\"#me6d5369fe5\" y=\"99.58509\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"119.251563\" xlink:href=\"#me6d5369fe5\" y=\"99.254329\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"146.872563\" xlink:href=\"#me6d5369fe5\" y=\"99.717394\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"171.179043\" xlink:href=\"#me6d5369fe5\" y=\"99.069103\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"192.568745\" xlink:href=\"#me6d5369fe5\" y=\"99.976711\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"211.391683\" xlink:href=\"#me6d5369fe5\" y=\"98.70606\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"227.955869\" xlink:href=\"#me6d5369fe5\" y=\"100.484971\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"242.532352\" xlink:href=\"#me6d5369fe5\" y=\"97.994495\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"255.359657\" xlink:href=\"#me6d5369fe5\" y=\"101.481161\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"266.647686\" xlink:href=\"#me6d5369fe5\" y=\"96.599829\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"276.581151\" xlink:href=\"#me6d5369fe5\" y=\"103.433694\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"285.3226\" xlink:href=\"#me6d5369fe5\" y=\"93.866283\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"293.015076\" xlink:href=\"#me6d5369fe5\" y=\"107.260658\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"299.784454\" xlink:href=\"#me6d5369fe5\" y=\"88.508533\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"305.741507\" xlink:href=\"#me6d5369fe5\" y=\"114.761509\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"310.983714\" xlink:href=\"#me6d5369fe5\" y=\"78.007342\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"315.596856\" xlink:href=\"#me6d5369fe5\" y=\"129.463175\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"319.65642\" xlink:href=\"#me6d5369fe5\" y=\"57.425009\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"323.228838\" xlink:href=\"#me6d5369fe5\" y=\"158.278442\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"326.372565\" xlink:href=\"#me6d5369fe5\" y=\"17.083636\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"329.139044\" xlink:href=\"#me6d5369fe5\" y=\"214.756364\"/>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 61.707813 224.64 \nL 61.707813 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 396.507812 224.64 \nL 396.507812 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 61.707812 224.64 \nL 396.507812 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 61.707812 7.2 \nL 396.507812 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p0c0d427efe\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"61.707813\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "eta = 0.6\n",
    "d2l.show_trace_2d(f_2d,d2l.train_2d(gd_2d))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上图使用较大学习率x1收敛，x2则跳过了最优点，走向发散\n",
    "\n",
    "## 动量法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "epoch 20,x1 -0.062843,x2 0.001202\n"
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 394.160937 262.19625\" width=\"394.160937pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.19625 \nL 394.160937 262.19625 \nL 394.160937 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 52.160938 224.64 \nL 386.960938 224.64 \nL 386.960938 7.2 \nL 52.160938 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mb0858ab3d0\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"78.317188\" xlink:href=\"#mb0858ab3d0\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- −5 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(70.946094 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"130.629688\" xlink:href=\"#mb0858ab3d0\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- −4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(123.258594 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"182.942188\" xlink:href=\"#mb0858ab3d0\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- −3 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(175.571094 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.254688\" xlink:href=\"#mb0858ab3d0\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- −2 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(227.883594 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"287.567188\" xlink:href=\"#mb0858ab3d0\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- −1 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(280.196094 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"339.879688\" xlink:href=\"#mb0858ab3d0\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(336.698438 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- x1 -->\n     <defs>\n      <path d=\"M 54.890625 54.6875 \nL 35.109375 28.078125 \nL 55.90625 0 \nL 45.3125 0 \nL 29.390625 21.484375 \nL 13.484375 0 \nL 2.875 0 \nL 24.125 28.609375 \nL 4.6875 54.6875 \nL 15.28125 54.6875 \nL 29.78125 35.203125 \nL 44.28125 54.6875 \nz\n\" id=\"DejaVuSans-120\"/>\n     </defs>\n     <g transform=\"translate(213.420313 252.916562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-120\"/>\n      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-49\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"md2ce2f5ffd\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#md2ce2f5ffd\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- −3.0 -->\n      <defs>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g transform=\"translate(20.878125 228.439219)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#md2ce2f5ffd\" y=\"199.986939\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- −2.5 -->\n      <g transform=\"translate(20.878125 203.786158)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#md2ce2f5ffd\" y=\"175.333878\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −2.0 -->\n      <g transform=\"translate(20.878125 179.133096)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#md2ce2f5ffd\" y=\"150.680816\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- −1.5 -->\n      <g transform=\"translate(20.878125 154.480035)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#md2ce2f5ffd\" y=\"126.027755\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- −1.0 -->\n      <g transform=\"translate(20.878125 129.826974)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#md2ce2f5ffd\" y=\"101.374694\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- −0.5 -->\n      <g transform=\"translate(20.878125 105.173913)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#md2ce2f5ffd\" y=\"76.721633\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 0.0 -->\n      <g transform=\"translate(29.257812 80.520851)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#md2ce2f5ffd\" y=\"52.068571\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0.5 -->\n      <g transform=\"translate(29.257812 55.86779)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_9\">\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"52.160938\" xlink:href=\"#md2ce2f5ffd\" y=\"27.41551\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 1.0 -->\n      <g transform=\"translate(29.257812 31.214729)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_17\">\n     <!-- x2 -->\n     <g transform=\"translate(14.798438 122.060625)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-120\"/>\n      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-50\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"LineCollection_2\">\n    <path clip-path=\"url(#p3a1270f649)\" d=\"M 386.960938 136.273567 \nL 381.729688 136.441208 \nL 376.498437 136.589127 \nL 371.267187 136.717322 \nL 366.035937 136.825796 \nL 360.804688 136.914547 \nL 355.573438 136.983576 \nL 350.342187 137.032882 \nL 345.110937 137.062465 \nL 339.879687 137.072327 \nL 334.648438 137.062465 \nL 329.417188 137.032882 \nL 324.185937 136.983576 \nL 318.954687 136.914547 \nL 313.723437 136.825796 \nL 308.492188 136.717322 \nL 303.260938 136.589127 \nL 298.029687 136.441208 \nL 292.798437 136.273567 \nL 287.567187 136.086204 \nL 282.585045 135.88898 \nL 282.335938 135.878261 \nL 277.104688 135.63173 \nL 271.873438 135.363762 \nL 266.642187 135.074357 \nL 261.410937 134.763514 \nL 256.179688 134.431233 \nL 250.948437 134.077516 \nL 245.717187 133.70236 \nL 240.485937 133.305768 \nL 235.254687 132.887737 \nL 230.023438 132.44827 \nL 224.792188 131.987365 \nL 219.560937 131.505022 \nL 214.329687 131.001242 \nL 213.902647 130.958367 \nL 209.098437 130.430087 \nL 203.867188 129.83137 \nL 198.635937 129.209174 \nL 193.404687 128.563499 \nL 188.173438 127.894344 \nL 182.942187 127.20171 \nL 177.710938 126.485598 \nL 174.472545 126.027755 \nL 172.479688 125.716348 \nL 167.248437 124.872954 \nL 162.017188 124.003609 \nL 156.785937 123.108314 \nL 151.554688 122.187068 \nL 146.323437 121.239871 \nL 145.556187 121.097143 \nL 141.092187 120.169028 \nL 135.860938 119.052389 \nL 130.629687 117.906747 \nL 125.398438 116.732101 \nL 122.94038 116.166531 \nL 120.167187 115.443374 \nL 114.935937 114.046367 \nL 109.704688 112.61649 \nL 104.767328 111.235918 \nL 104.473437 111.141099 \nL 99.242188 109.415385 \nL 94.010937 107.651743 \nL 90.101266 106.305306 \nL 88.779687 105.767421 \nL 83.548437 103.593469 \nL 78.317187 101.374694 \nL 78.317187 101.374694 \nL 73.085938 98.608073 \nL 69.07362 96.444082 \nL 67.854688 95.598834 \nL 62.623438 91.900875 \nL 62.085645 91.513469 \nL 57.392187 86.780082 \nL 57.200215 86.582857 \nL 54.320628 81.652245 \nL 53.360765 76.721633 \nL 54.320628 71.79102 \nL 57.200215 66.860408 \nL 57.392187 66.663184 \nL 62.085645 61.929796 \nL 62.623438 61.542391 \nL 67.854688 57.844431 \nL 69.07362 56.999184 \nL 73.085938 54.835193 \nL 78.317187 52.068571 \nL 78.317188 52.068571 \nL 83.548437 49.849796 \nL 88.779687 47.675844 \nL 90.101266 47.137959 \nL 94.010937 45.791523 \nL 99.242188 44.027881 \nL 104.473437 42.302166 \nL 104.767328 42.207347 \nL 109.704688 40.826776 \nL 114.935937 39.396898 \nL 120.167187 37.999891 \nL 122.94038 37.276735 \nL 125.398438 36.711164 \nL 130.629687 35.536519 \nL 135.860938 34.390876 \nL 141.092187 33.274238 \nL 145.556188 32.346122 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_3\">\n    <path clip-path=\"url(#p3a1270f649)\" d=\"M 386.960938 161.52112 \nL 381.729688 161.640863 \nL 376.498437 161.746519 \nL 371.267187 161.838087 \nL 366.035937 161.915569 \nL 360.804688 161.978962 \nL 355.573438 162.028268 \nL 350.342187 162.063487 \nL 345.110937 162.084618 \nL 339.879687 162.091662 \nL 334.648438 162.084618 \nL 329.417188 162.063487 \nL 324.185937 162.028268 \nL 318.954687 161.978962 \nL 313.723437 161.915569 \nL 308.492188 161.838087 \nL 303.260938 161.746519 \nL 298.029687 161.640863 \nL 292.798437 161.52112 \nL 287.567187 161.387289 \nL 282.335938 161.23937 \nL 277.104688 161.077364 \nL 271.873438 160.901271 \nL 266.642187 160.71109 \nL 262.312877 160.542041 \nL 261.410937 160.504688 \nL 256.179688 160.273098 \nL 250.948438 160.026568 \nL 245.717188 159.765096 \nL 240.485938 159.488683 \nL 235.254687 159.197328 \nL 230.023438 158.891033 \nL 224.792188 158.569796 \nL 219.560937 158.233618 \nL 214.329687 157.882498 \nL 209.098437 157.516438 \nL 203.867188 157.135436 \nL 198.635937 156.739493 \nL 193.404687 156.328609 \nL 188.173438 155.902783 \nL 184.715493 155.611429 \nL 182.942187 155.452377 \nL 177.710938 154.967268 \nL 172.479687 154.466254 \nL 167.248437 153.949335 \nL 162.017188 153.416511 \nL 156.785937 152.867781 \nL 151.554688 152.303147 \nL 146.323437 151.722607 \nL 141.092187 151.126162 \nL 137.287642 150.680816 \nL 135.860938 150.502294 \nL 130.629687 149.830711 \nL 125.398438 149.142125 \nL 120.167187 148.436538 \nL 114.935937 147.713948 \nL 109.704688 146.974356 \nL 104.473437 146.217762 \nL 101.311693 145.750204 \nL 99.242188 145.421497 \nL 94.010937 144.572336 \nL 88.779687 143.704913 \nL 83.548437 142.819229 \nL 78.317187 141.915283 \nL 73.085938 140.993076 \nL 72.12095 140.819592 \nL 67.854688 139.991249 \nL 62.623438 138.95582 \nL 57.392187 137.900669 \nL 52.160937 136.825796 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_4\">\n    <path clip-path=\"url(#p3a1270f649)\" d=\"M 386.960938 180.832084 \nL 381.729688 180.929549 \nL 376.498437 181.015548 \nL 371.267187 181.090081 \nL 366.035937 181.153147 \nL 360.804688 181.204746 \nL 355.573438 181.244879 \nL 350.342187 181.273545 \nL 345.110937 181.290745 \nL 339.879687 181.296478 \nL 334.648438 181.290745 \nL 329.417188 181.273545 \nL 324.185937 181.244879 \nL 318.954687 181.204746 \nL 313.723437 181.153147 \nL 308.492188 181.090081 \nL 303.260938 181.015548 \nL 298.029687 180.929549 \nL 292.798437 180.832084 \nL 287.567187 180.723151 \nL 282.335938 180.602753 \nL 277.104688 180.470888 \nL 271.873438 180.327556 \nL 269.742187 180.26449 \nL 266.642187 180.168283 \nL 261.410937 179.993907 \nL 256.179688 179.807506 \nL 250.948438 179.609079 \nL 245.717187 179.398626 \nL 240.485937 179.176147 \nL 235.254687 178.941643 \nL 230.023438 178.695112 \nL 224.792188 178.436556 \nL 219.560937 178.165973 \nL 214.329687 177.883365 \nL 209.098437 177.588731 \nL 203.867188 177.282071 \nL 198.635937 176.963385 \nL 193.404687 176.632673 \nL 188.173438 176.289935 \nL 182.942187 175.935172 \nL 177.710938 175.568382 \nL 174.472545 175.333878 \nL 172.479687 175.182166 \nL 167.248437 174.771282 \nL 162.017188 174.347755 \nL 156.785937 173.911586 \nL 151.554688 173.462773 \nL 146.323437 173.001319 \nL 141.092187 172.527221 \nL 135.860938 172.040481 \nL 130.629687 171.541099 \nL 125.398438 171.029074 \nL 120.167187 170.504406 \nL 119.182482 170.403265 \nL 114.935937 169.943519 \nL 109.704688 169.363839 \nL 104.473437 168.770833 \nL 99.242188 168.164501 \nL 94.010937 167.544843 \nL 88.779687 166.911859 \nL 83.548437 166.265549 \nL 78.317187 165.605913 \nL 77.281296 165.472653 \nL 73.085938 164.902111 \nL 67.854688 164.176606 \nL 62.623438 163.437015 \nL 57.392187 162.683335 \nL 52.160937 161.915569 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_5\">\n    <path clip-path=\"url(#p3a1270f649)\" d=\"M 386.960938 197.06379 \nL 381.729688 197.149321 \nL 376.498437 197.22479 \nL 371.267187 197.290196 \nL 366.035937 197.345539 \nL 360.804688 197.39082 \nL 355.573438 197.426039 \nL 350.342187 197.451195 \nL 345.110937 197.466289 \nL 339.879687 197.47132 \nL 334.648438 197.466289 \nL 329.417188 197.451195 \nL 324.185937 197.426039 \nL 318.954687 197.39082 \nL 313.723437 197.345539 \nL 308.492188 197.290196 \nL 303.260938 197.22479 \nL 298.029687 197.149321 \nL 292.798437 197.06379 \nL 287.567187 196.968197 \nL 282.335938 196.862541 \nL 277.104688 196.746822 \nL 271.873438 196.621041 \nL 266.642187 196.485198 \nL 261.410937 196.339292 \nL 256.179688 196.183324 \nL 250.948438 196.017293 \nL 245.717187 195.8412 \nL 240.485937 195.655044 \nL 235.254687 195.458825 \nL 230.023438 195.252545 \nL 225.278815 195.056327 \nL 224.792188 195.035345 \nL 219.560937 194.799305 \nL 214.329687 194.552775 \nL 209.098437 194.295753 \nL 203.867188 194.028241 \nL 198.635937 193.750239 \nL 193.404687 193.461746 \nL 188.173438 193.162762 \nL 182.942187 192.853287 \nL 177.710938 192.533322 \nL 172.479687 192.202866 \nL 167.248437 191.861919 \nL 162.017188 191.510482 \nL 156.785937 191.148554 \nL 151.554688 190.776135 \nL 146.323437 190.393226 \nL 142.766187 190.125714 \nL 141.092187 189.994231 \nL 135.860937 189.57239 \nL 130.629687 189.139592 \nL 125.398438 188.695837 \nL 120.167187 188.241125 \nL 114.935937 187.775456 \nL 109.704688 187.29883 \nL 104.473437 186.811247 \nL 99.242188 186.312707 \nL 94.010937 185.803211 \nL 88.779687 185.282757 \nL 87.916801 185.195102 \nL 83.548437 184.730707 \nL 78.317187 184.163113 \nL 73.085938 183.584053 \nL 67.854688 182.993526 \nL 62.623438 182.391533 \nL 57.392187 181.778073 \nL 52.160937 181.153147 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_6\">\n    <path clip-path=\"url(#p3a1270f649)\" d=\"M 386.960938 211.367688 \nL 381.729688 211.443889 \nL 376.498437 211.511124 \nL 371.267187 211.569395 \nL 366.035937 211.618701 \nL 360.804688 211.659043 \nL 355.573438 211.690419 \nL 350.342187 211.712831 \nL 345.110937 211.726278 \nL 339.879687 211.730761 \nL 334.648438 211.726278 \nL 329.417188 211.712831 \nL 324.185937 211.690419 \nL 318.954687 211.659043 \nL 313.723437 211.618701 \nL 308.492188 211.569395 \nL 303.260938 211.511124 \nL 298.029687 211.443889 \nL 292.798437 211.367688 \nL 287.567187 211.282523 \nL 282.335938 211.188393 \nL 277.104688 211.085299 \nL 271.873438 210.973239 \nL 266.642187 210.852215 \nL 261.410937 210.722226 \nL 256.179688 210.583273 \nL 250.948438 210.435354 \nL 245.717187 210.278471 \nL 240.485937 210.112623 \nL 235.254687 209.937811 \nL 232.702858 209.848163 \nL 230.023438 209.750481 \nL 224.792188 209.550466 \nL 219.560937 209.341147 \nL 214.329687 209.122526 \nL 209.098437 208.894601 \nL 203.867188 208.657374 \nL 198.635937 208.410843 \nL 193.404687 208.15501 \nL 188.173438 207.889873 \nL 182.942187 207.615433 \nL 177.710938 207.33169 \nL 172.479687 207.038645 \nL 167.248437 206.736296 \nL 162.017188 206.424644 \nL 156.785937 206.103689 \nL 151.554688 205.773431 \nL 146.323437 205.43387 \nL 141.092187 205.085006 \nL 138.646408 204.917551 \nL 135.860938 204.71936 \nL 130.629687 204.337479 \nL 125.398438 203.94593 \nL 120.167187 203.544714 \nL 114.935937 203.13383 \nL 109.704688 202.713277 \nL 104.473437 202.283057 \nL 99.242188 201.843169 \nL 94.010937 201.393613 \nL 88.779687 200.93439 \nL 83.548437 200.465498 \nL 78.317187 199.986939 \nL 78.317187 199.986939 \nL 73.085938 199.478784 \nL 67.854688 198.960566 \nL 62.623438 198.432287 \nL 57.392187 197.893944 \nL 52.160937 197.345539 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_7\">\n    <path clip-path=\"url(#p3a1270f649)\" d=\"M 339.879687 224.64 \nL 334.648438 224.635822 \nL 329.417188 224.623286 \nL 324.185937 224.602394 \nL 318.954687 224.573144 \nL 313.723437 224.535538 \nL 308.492188 224.489575 \nL 303.260938 224.435254 \nL 298.029687 224.372577 \nL 292.798437 224.301543 \nL 287.567187 224.222152 \nL 282.335938 224.134403 \nL 277.104688 224.038298 \nL 271.873438 223.933836 \nL 266.642187 223.821017 \nL 261.410937 223.699841 \nL 256.179688 223.570308 \nL 250.948438 223.432418 \nL 245.717187 223.286171 \nL 240.485937 223.131567 \nL 235.254687 222.968606 \nL 230.023438 222.797288 \nL 224.792188 222.617613 \nL 219.560937 222.429581 \nL 214.329687 222.233193 \nL 209.098437 222.028447 \nL 203.867188 221.815344 \nL 198.635937 221.593884 \nL 193.404687 221.364068 \nL 188.173438 221.125894 \nL 182.942187 220.879364 \nL 177.710938 220.624476 \nL 172.479687 220.361231 \nL 167.248437 220.08963 \nL 162.017188 219.809671 \nL 160.197622 219.709388 \nL 156.785937 219.514758 \nL 151.554688 219.207676 \nL 146.323437 218.891944 \nL 141.092187 218.567562 \nL 135.860938 218.234529 \nL 130.629687 217.892846 \nL 125.398438 217.542513 \nL 120.167187 217.18353 \nL 114.935937 216.815897 \nL 109.704688 216.439613 \nL 104.473437 216.05468 \nL 99.242188 215.661096 \nL 94.010937 215.258861 \nL 88.779687 214.847977 \nL 87.916801 214.778776 \nL 83.548437 214.415703 \nL 78.317187 213.971948 \nL 73.085938 213.519228 \nL 67.854688 213.057544 \nL 62.623438 212.586894 \nL 57.392187 212.10728 \nL 52.160937 211.618701 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n    <path clip-path=\"url(#p3a1270f649)\" d=\"M 386.960938 224.301543 \nL 381.729688 224.372577 \nL 376.498437 224.435254 \nL 371.267187 224.489575 \nL 366.035937 224.535538 \nL 360.804688 224.573144 \nL 355.573438 224.602394 \nL 350.342187 224.623286 \nL 345.110937 224.635822 \nL 339.879687 224.64 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_8\">\n    <path clip-path=\"url(#p3a1270f649)\" d=\"M 53.360765 224.64 \nL 52.160937 224.535538 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_9\"/>\n   <g id=\"line2d_16\">\n    <path clip-path=\"url(#p3a1270f649)\" d=\"M 78.317188 175.333878 \nL 99.242188 17.554286 \nL 128.955688 33.332245 \nL 160.686358 110.644245 \nL 190.887159 95.024065 \nL 217.906962 57.930083 \nL 241.174681 69.449571 \nL 260.704942 86.844613 \nL 276.804051 79.345365 \nL 289.899657 71.397769 \nL 300.445863 75.942153 \nL 308.873671 79.461512 \nL 315.568057 76.837385 \nL 320.86018 75.340118 \nL 325.027802 76.801908 \nL 328.299764 77.404363 \nL 330.862139 76.613222 \nL 332.86473 76.391109 \nL 334.427223 76.80889 \nL 335.644666 76.878169 \nL 336.592189 76.66235 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"m7d706923fb\" style=\"stroke:#ff7f0e;\"/>\n    </defs>\n    <g clip-path=\"url(#p3a1270f649)\">\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"78.317188\" xlink:href=\"#m7d706923fb\" y=\"175.333878\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"99.242188\" xlink:href=\"#m7d706923fb\" y=\"17.554286\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"128.955688\" xlink:href=\"#m7d706923fb\" y=\"33.332245\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"160.686358\" xlink:href=\"#m7d706923fb\" y=\"110.644245\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"190.887159\" xlink:href=\"#m7d706923fb\" y=\"95.024065\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"217.906962\" xlink:href=\"#m7d706923fb\" y=\"57.930083\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"241.174681\" xlink:href=\"#m7d706923fb\" y=\"69.449571\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"260.704942\" xlink:href=\"#m7d706923fb\" y=\"86.844613\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"276.804051\" xlink:href=\"#m7d706923fb\" y=\"79.345365\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"289.899657\" xlink:href=\"#m7d706923fb\" y=\"71.397769\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"300.445863\" xlink:href=\"#m7d706923fb\" y=\"75.942153\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"308.873671\" xlink:href=\"#m7d706923fb\" y=\"79.461512\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"315.568057\" xlink:href=\"#m7d706923fb\" y=\"76.837385\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"320.86018\" xlink:href=\"#m7d706923fb\" y=\"75.340118\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"325.027802\" xlink:href=\"#m7d706923fb\" y=\"76.801908\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"328.299764\" xlink:href=\"#m7d706923fb\" y=\"77.404363\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"330.862139\" xlink:href=\"#m7d706923fb\" y=\"76.613222\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"332.86473\" xlink:href=\"#m7d706923fb\" y=\"76.391109\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"334.427223\" xlink:href=\"#m7d706923fb\" y=\"76.80889\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"335.644666\" xlink:href=\"#m7d706923fb\" y=\"76.878169\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"336.592189\" xlink:href=\"#m7d706923fb\" y=\"76.66235\"/>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 52.160938 224.64 \nL 52.160938 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 386.960938 224.64 \nL 386.960938 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 52.160937 224.64 \nL 386.960938 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 52.160937 7.2 \nL 386.960938 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p3a1270f649\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"52.160938\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "def momentum_2d(x1,x2,v1,v2):\n",
    "    v1 = gamma * v1 + eta * 0.2 * x1\n",
    "    v2 = gamma * v2 + eta * 4 * x2 \n",
    "    return x1-v1,x2-v2,v1,v2\n",
    "\n",
    "eta = 0.4\n",
    "gamma = 0.5\n",
    "\n",
    "d2l.show_trace_2d(f_2d,d2l.train_2d(momentum_2d))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "epoch 20,x1 0.007188,x2 0.002553\n"
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"262.78207pt\" version=\"1.1\" viewBox=\"0 0 384.620312 262.78207\" width=\"384.620312pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.78207 \nL 384.620312 262.78207 \nL 384.620312 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 42.620313 225.22582 \nL 377.420313 225.22582 \nL 377.420313 7.78582 \nL 42.620313 7.78582 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m3389e59d80\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"68.776563\" xlink:href=\"#m3389e59d80\" y=\"225.22582\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- −5 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(61.405469 239.824257)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"121.089063\" xlink:href=\"#m3389e59d80\" y=\"225.22582\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- −4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(113.717969 239.824257)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"173.401563\" xlink:href=\"#m3389e59d80\" y=\"225.22582\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- −3 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(166.030469 239.824257)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"225.714063\" xlink:href=\"#m3389e59d80\" y=\"225.22582\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- −2 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(218.342969 239.824257)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"278.026563\" xlink:href=\"#m3389e59d80\" y=\"225.22582\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- −1 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(270.655469 239.824257)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"330.339063\" xlink:href=\"#m3389e59d80\" y=\"225.22582\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(327.157813 239.824257)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- x1 -->\n     <defs>\n      <path d=\"M 54.890625 54.6875 \nL 35.109375 28.078125 \nL 55.90625 0 \nL 45.3125 0 \nL 29.390625 21.484375 \nL 13.484375 0 \nL 2.875 0 \nL 24.125 28.609375 \nL 4.6875 54.6875 \nL 15.28125 54.6875 \nL 29.78125 35.203125 \nL 44.28125 54.6875 \nz\n\" id=\"DejaVuSans-120\"/>\n     </defs>\n     <g transform=\"translate(203.879688 253.502382)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-120\"/>\n      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-49\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m40029d316e\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m40029d316e\" y=\"225.22582\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- −3 -->\n      <g transform=\"translate(20.878125 229.025038)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m40029d316e\" y=\"189.521386\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- −2 -->\n      <g transform=\"translate(20.878125 193.320605)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m40029d316e\" y=\"153.816953\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- −1 -->\n      <g transform=\"translate(20.878125 157.616171)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m40029d316e\" y=\"118.112519\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0 -->\n      <g transform=\"translate(29.257813 121.911738)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m40029d316e\" y=\"82.408086\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 1 -->\n      <g transform=\"translate(29.257813 86.207304)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m40029d316e\" y=\"46.703652\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 2 -->\n      <g transform=\"translate(29.257813 50.502871)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"42.620313\" xlink:href=\"#m40029d316e\" y=\"10.999219\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 3 -->\n      <g transform=\"translate(29.257813 14.798438)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_15\">\n     <!-- x2 -->\n     <g transform=\"translate(14.798438 122.646445)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-120\"/>\n      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-50\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"LineCollection_1\"/>\n   <g id=\"LineCollection_2\">\n    <path clip-path=\"url(#p6ec0743aca)\" d=\"M 377.420313 161.236334 \nL 372.189063 161.357729 \nL 366.957812 161.464842 \nL 361.726562 161.557674 \nL 356.495313 161.636224 \nL 351.264063 161.700492 \nL 346.032813 161.750478 \nL 340.801562 161.786182 \nL 335.570312 161.807605 \nL 330.339063 161.814746 \nL 325.107813 161.807605 \nL 319.876563 161.786182 \nL 314.645312 161.750478 \nL 309.414062 161.700492 \nL 304.182813 161.636224 \nL 298.951563 161.557674 \nL 293.720313 161.464842 \nL 288.489062 161.357729 \nL 283.257812 161.236334 \nL 278.026563 161.100657 \nL 273.04442 160.957839 \nL 272.795313 160.950078 \nL 267.564063 160.771555 \nL 262.332813 160.57751 \nL 257.101562 160.36794 \nL 251.870313 160.142847 \nL 246.639063 159.90223 \nL 241.407813 159.64609 \nL 236.176563 159.374425 \nL 230.945312 159.087238 \nL 225.714063 158.784526 \nL 220.482813 158.466291 \nL 215.251563 158.132532 \nL 210.020313 157.78325 \nL 204.789062 157.418443 \nL 204.362022 157.387396 \nL 199.557813 157.004849 \nL 194.326563 156.571295 \nL 189.095313 156.120739 \nL 183.864063 155.653181 \nL 178.632813 155.168621 \nL 173.401563 154.667058 \nL 168.170313 154.148494 \nL 164.93192 153.816953 \nL 162.939063 153.591451 \nL 157.707813 152.980717 \nL 152.476563 152.351192 \nL 147.245313 151.702874 \nL 142.014063 151.035765 \nL 136.782813 150.349864 \nL 136.015562 150.246509 \nL 131.551563 149.574426 \nL 126.320313 148.765826 \nL 121.089063 147.936223 \nL 115.857813 147.085617 \nL 113.399755 146.676066 \nL 110.626563 146.152401 \nL 105.395313 145.140775 \nL 100.164063 144.105347 \nL 95.226703 143.105623 \nL 94.932813 143.03696 \nL 89.701563 141.787305 \nL 84.470313 140.510185 \nL 80.560641 139.535179 \nL 79.239063 139.145676 \nL 74.007812 137.571435 \nL 68.776563 135.964736 \nL 68.776562 135.964736 \nL 63.545313 133.961321 \nL 59.532995 132.394293 \nL 58.314063 131.782217 \nL 53.082813 129.104384 \nL 52.54502 128.823849 \nL 47.851562 125.396224 \nL 47.65959 125.253406 \nL 44.780003 121.682963 \nL 43.82014 118.112519 \nL 44.780003 114.542076 \nL 47.65959 110.971633 \nL 47.851562 110.828815 \nL 52.54502 107.401189 \nL 53.082813 107.120654 \nL 58.314063 104.442822 \nL 59.532995 103.830746 \nL 63.545313 102.263718 \nL 68.776563 100.260302 \nL 68.776563 100.260302 \nL 74.007812 98.653603 \nL 79.239063 97.079362 \nL 80.560641 96.689859 \nL 84.470313 95.714853 \nL 89.701563 94.437733 \nL 94.932813 93.188078 \nL 95.226703 93.119416 \nL 100.164063 92.119692 \nL 105.395313 91.084263 \nL 110.626563 90.072637 \nL 113.399755 89.548972 \nL 115.857813 89.139422 \nL 121.089063 88.288816 \nL 126.320313 87.459213 \nL 131.551562 86.650613 \nL 136.015563 85.978529 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_3\">\n    <path clip-path=\"url(#p6ec0743aca)\" d=\"M 377.420313 179.519044 \nL 372.189063 179.605755 \nL 366.957812 179.682264 \nL 361.726562 179.748573 \nL 356.495313 179.80468 \nL 351.264063 179.850585 \nL 346.032813 179.88629 \nL 340.801562 179.911793 \nL 335.570312 179.927095 \nL 330.339063 179.932196 \nL 325.107813 179.927095 \nL 319.876563 179.911793 \nL 314.645312 179.88629 \nL 309.414062 179.850585 \nL 304.182813 179.80468 \nL 298.951563 179.748573 \nL 293.720313 179.682264 \nL 288.489062 179.605755 \nL 283.257812 179.519044 \nL 278.026563 179.422132 \nL 272.795313 179.315019 \nL 267.564063 179.197704 \nL 262.332813 179.070188 \nL 257.101562 178.932471 \nL 252.772252 178.810056 \nL 251.870313 178.783007 \nL 246.639063 178.615305 \nL 241.407813 178.436783 \nL 236.176563 178.247441 \nL 230.945313 178.04728 \nL 225.714063 177.836299 \nL 220.482813 177.614499 \nL 215.251563 177.381879 \nL 210.020313 177.13844 \nL 204.789062 176.884181 \nL 199.557813 176.619102 \nL 194.326563 176.343204 \nL 189.095313 176.056487 \nL 183.864063 175.75895 \nL 178.632813 175.450594 \nL 175.174868 175.239613 \nL 173.401563 175.124437 \nL 168.170313 174.773152 \nL 162.939063 174.410349 \nL 157.707813 174.036028 \nL 152.476563 173.65019 \nL 147.245313 173.252834 \nL 142.014063 172.843961 \nL 136.782813 172.42357 \nL 131.551563 171.991661 \nL 127.747017 171.669169 \nL 126.320313 171.539895 \nL 121.089063 171.053576 \nL 115.857813 170.554945 \nL 110.626563 170.044002 \nL 105.395313 169.520748 \nL 100.164063 168.985181 \nL 94.932813 168.437303 \nL 91.771068 168.098726 \nL 89.701563 167.860697 \nL 84.470313 167.245787 \nL 79.239063 166.617653 \nL 74.007812 165.976296 \nL 68.776563 165.321715 \nL 63.545313 164.653909 \nL 62.580325 164.528283 \nL 58.314063 163.928448 \nL 53.082813 163.178655 \nL 47.851562 162.41458 \nL 42.620313 161.636224 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_4\">\n    <path clip-path=\"url(#p6ec0743aca)\" d=\"M 377.420313 193.502846 \nL 372.189063 193.573424 \nL 366.957812 193.635699 \nL 361.726562 193.689671 \nL 356.495313 193.73534 \nL 351.264063 193.772705 \nL 346.032813 193.801767 \nL 340.801562 193.822525 \nL 335.570312 193.83498 \nL 330.339063 193.839132 \nL 325.107813 193.83498 \nL 319.876563 193.822525 \nL 314.645312 193.801767 \nL 309.414062 193.772705 \nL 304.182813 193.73534 \nL 298.951563 193.689671 \nL 293.720313 193.635699 \nL 288.489062 193.573424 \nL 283.257812 193.502846 \nL 278.026563 193.423964 \nL 272.795313 193.336779 \nL 267.564063 193.24129 \nL 262.332813 193.137498 \nL 260.201562 193.09183 \nL 257.101562 193.022162 \nL 251.870313 192.895891 \nL 246.639063 192.76091 \nL 241.407813 192.617222 \nL 236.176563 192.464825 \nL 230.945312 192.30372 \nL 225.714063 192.133906 \nL 220.482813 191.955384 \nL 215.251563 191.768153 \nL 210.020313 191.572214 \nL 204.789062 191.367567 \nL 199.557813 191.154211 \nL 194.326563 190.932147 \nL 189.095313 190.701374 \nL 183.864063 190.461893 \nL 178.632813 190.213704 \nL 173.401563 189.956806 \nL 168.170313 189.6912 \nL 164.93192 189.521386 \nL 162.939063 189.411526 \nL 157.707813 189.113989 \nL 152.476563 188.807298 \nL 147.245313 188.491451 \nL 142.014063 188.166449 \nL 136.782813 187.832292 \nL 131.551563 187.48898 \nL 126.320313 187.136513 \nL 121.089063 186.774891 \nL 115.857813 186.404115 \nL 110.626563 186.024183 \nL 109.641857 185.950943 \nL 105.395313 185.618023 \nL 100.164063 185.198255 \nL 94.932813 184.768837 \nL 89.701563 184.329769 \nL 84.470313 183.881051 \nL 79.239063 183.422683 \nL 74.007812 182.954665 \nL 68.776563 182.476998 \nL 67.740671 182.3805 \nL 63.545313 181.967348 \nL 58.314063 181.441983 \nL 53.082813 180.906416 \nL 47.851562 180.360649 \nL 42.620313 179.80468 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_5\">\n    <path clip-path=\"url(#p6ec0743aca)\" d=\"M 377.420313 205.25684 \nL 372.189063 205.318776 \nL 366.957812 205.373426 \nL 361.726562 205.420789 \nL 356.495313 205.460865 \nL 351.264063 205.493655 \nL 346.032813 205.519158 \nL 340.801562 205.537375 \nL 335.570312 205.548305 \nL 330.339063 205.551948 \nL 325.107813 205.548305 \nL 319.876563 205.537375 \nL 314.645312 205.519158 \nL 309.414062 205.493655 \nL 304.182813 205.460865 \nL 298.951563 205.420789 \nL 293.720313 205.373426 \nL 288.489062 205.318776 \nL 283.257812 205.25684 \nL 278.026563 205.187617 \nL 272.795313 205.111108 \nL 267.564063 205.027312 \nL 262.332813 204.936229 \nL 257.101562 204.83786 \nL 251.870313 204.732204 \nL 246.639063 204.619261 \nL 241.407813 204.499032 \nL 236.176563 204.371516 \nL 230.945312 204.236713 \nL 225.714063 204.094624 \nL 220.482813 203.945249 \nL 215.73819 203.80316 \nL 215.251563 203.787966 \nL 210.020313 203.617041 \nL 204.789062 203.438519 \nL 199.557813 203.2524 \nL 194.326563 203.058684 \nL 189.095313 202.857372 \nL 183.864063 202.648463 \nL 178.632813 202.431957 \nL 173.401563 202.207855 \nL 168.170313 201.976156 \nL 162.939063 201.736861 \nL 157.707813 201.489968 \nL 152.476563 201.235479 \nL 147.245313 200.973393 \nL 142.014063 200.703711 \nL 136.782813 200.426432 \nL 133.225562 200.232716 \nL 131.551563 200.137504 \nL 126.320312 199.832033 \nL 121.089063 199.518628 \nL 115.857813 199.197288 \nL 110.626563 198.868013 \nL 105.395313 198.530805 \nL 100.164063 198.185662 \nL 94.932813 197.832585 \nL 89.701563 197.471573 \nL 84.470313 197.102628 \nL 79.239063 196.725747 \nL 78.376176 196.662273 \nL 74.007812 196.325987 \nL 68.776563 195.914971 \nL 63.545313 195.495651 \nL 58.314063 195.068028 \nL 53.082813 194.632102 \nL 47.851562 194.187873 \nL 42.620313 193.73534 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_6\">\n    <path clip-path=\"url(#p6ec0743aca)\" d=\"M 377.420313 215.614835 \nL 372.189063 215.670015 \nL 366.957812 215.718703 \nL 361.726562 215.760899 \nL 356.495313 215.796603 \nL 351.264063 215.825816 \nL 346.032813 215.848537 \nL 340.801562 215.864766 \nL 335.570312 215.874504 \nL 330.339063 215.87775 \nL 325.107813 215.874504 \nL 319.876563 215.864766 \nL 314.645312 215.848537 \nL 309.414062 215.825816 \nL 304.182813 215.796603 \nL 298.951563 215.760899 \nL 293.720313 215.718703 \nL 288.489062 215.670015 \nL 283.257812 215.614835 \nL 278.026563 215.553164 \nL 272.795313 215.485001 \nL 267.564063 215.410346 \nL 262.332813 215.3292 \nL 257.101562 215.241562 \nL 251.870313 215.147432 \nL 246.639063 215.04681 \nL 241.407813 214.939697 \nL 236.176563 214.826092 \nL 230.945312 214.705995 \nL 225.714063 214.579407 \nL 223.162233 214.51449 \nL 220.482813 214.443754 \nL 215.251563 214.298916 \nL 210.020313 214.14734 \nL 204.789062 213.989028 \nL 199.557813 213.823979 \nL 194.326563 213.652194 \nL 189.095313 213.473672 \nL 183.864063 213.288413 \nL 178.632813 213.096417 \nL 173.401563 212.897685 \nL 168.170313 212.692216 \nL 162.939063 212.480011 \nL 157.707813 212.261068 \nL 152.476563 212.035389 \nL 147.245313 211.802974 \nL 142.014063 211.563821 \nL 136.782813 211.317932 \nL 131.551563 211.065307 \nL 129.105783 210.944046 \nL 126.320313 210.800529 \nL 121.089063 210.523994 \nL 115.857813 210.240459 \nL 110.626563 209.949923 \nL 105.395313 209.652386 \nL 100.164063 209.347848 \nL 94.932813 209.036309 \nL 89.701563 208.71777 \nL 84.470313 208.392229 \nL 79.239063 208.059688 \nL 74.007812 207.720146 \nL 68.776563 207.373603 \nL 68.776562 207.373603 \nL 63.545313 207.005629 \nL 58.314063 206.630368 \nL 53.082813 206.24782 \nL 47.851562 205.857986 \nL 42.620313 205.460865 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_7\">\n    <path clip-path=\"url(#p6ec0743aca)\" d=\"M 330.339063 225.22582 \nL 325.107813 225.222794 \nL 319.876563 225.213717 \nL 314.645312 225.198588 \nL 309.414062 225.177407 \nL 304.182813 225.150175 \nL 298.951563 225.116891 \nL 293.720313 225.077556 \nL 288.489062 225.032169 \nL 283.257812 224.98073 \nL 278.026563 224.92324 \nL 272.795313 224.859698 \nL 267.564063 224.790105 \nL 262.332813 224.71446 \nL 257.101562 224.632763 \nL 251.870313 224.545015 \nL 246.639063 224.451215 \nL 241.407813 224.351364 \nL 236.176563 224.245461 \nL 230.945312 224.133506 \nL 225.714063 224.0155 \nL 220.482813 223.891442 \nL 215.251563 223.761333 \nL 210.020313 223.625172 \nL 204.789062 223.482959 \nL 199.557813 223.334695 \nL 194.326563 223.180379 \nL 189.095313 223.020012 \nL 183.864063 222.853593 \nL 178.632813 222.681122 \nL 173.401563 222.5026 \nL 168.170313 222.318026 \nL 162.939063 222.127401 \nL 157.707813 221.930724 \nL 152.476563 221.727996 \nL 150.656997 221.655376 \nL 147.245313 221.514438 \nL 142.014063 221.292068 \nL 136.782813 221.063434 \nL 131.551563 220.828537 \nL 126.320313 220.587375 \nL 121.089063 220.33995 \nL 115.857813 220.08626 \nL 110.626563 219.826307 \nL 105.395313 219.56009 \nL 100.164063 219.287609 \nL 94.932813 219.008864 \nL 89.701563 218.723854 \nL 84.470313 218.432581 \nL 79.239063 218.135045 \nL 78.376176 218.084933 \nL 74.007812 217.822019 \nL 68.776563 217.500679 \nL 63.545313 217.172847 \nL 58.314063 216.838524 \nL 53.082813 216.497709 \nL 47.851562 216.150402 \nL 42.620313 215.796603 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n    <path clip-path=\"url(#p6ec0743aca)\" d=\"M 377.420313 224.98073 \nL 372.189063 225.032169 \nL 366.957812 225.077556 \nL 361.726562 225.116891 \nL 356.495313 225.150175 \nL 351.264063 225.177407 \nL 346.032813 225.198588 \nL 340.801562 225.213717 \nL 335.570312 225.222794 \nL 330.339063 225.22582 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_8\">\n    <path clip-path=\"url(#p6ec0743aca)\" d=\"M 43.82014 225.22582 \nL 42.620313 225.150175 \n\" style=\"fill:none;stroke:#1f77b4;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"LineCollection_9\"/>\n   <g id=\"line2d_14\">\n    <path clip-path=\"url(#p6ec0743aca)\" d=\"M 68.776563 189.521386 \nL 100.164063 18.140105 \nL 143.478813 172.383258 \nL 187.559418 119.255061 \nL 226.733277 89.948862 \nL 258.752902 142.88854 \nL 283.353053 109.895929 \nL 301.29145 113.11944 \nL 313.746362 126.714586 \nL 321.964942 112.867199 \nL 327.079126 118.532274 \nL 330.027411 120.3574 \nL 331.538951 115.882249 \nL 332.150735 118.997322 \nL 332.239226 118.431332 \nL 332.055452 117.383187 \nL 331.757598 118.609512 \nL 331.438447 118.029892 \nL 331.146945 117.938387 \nL 330.904248 118.310552 \nL 330.715078 118.021356 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"m21da5c002e\" style=\"stroke:#ff7f0e;\"/>\n    </defs>\n    <g clip-path=\"url(#p6ec0743aca)\">\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"68.776563\" xlink:href=\"#m21da5c002e\" y=\"189.521386\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"100.164063\" xlink:href=\"#m21da5c002e\" y=\"18.140105\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"143.478813\" xlink:href=\"#m21da5c002e\" y=\"172.383258\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"187.559418\" xlink:href=\"#m21da5c002e\" y=\"119.255061\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"226.733277\" xlink:href=\"#m21da5c002e\" y=\"89.948862\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"258.752902\" xlink:href=\"#m21da5c002e\" y=\"142.88854\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"283.353053\" xlink:href=\"#m21da5c002e\" y=\"109.895929\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"301.29145\" xlink:href=\"#m21da5c002e\" y=\"113.11944\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"313.746362\" xlink:href=\"#m21da5c002e\" y=\"126.714586\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"321.964942\" xlink:href=\"#m21da5c002e\" y=\"112.867199\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"327.079126\" xlink:href=\"#m21da5c002e\" y=\"118.532274\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"330.027411\" xlink:href=\"#m21da5c002e\" y=\"120.3574\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"331.538951\" xlink:href=\"#m21da5c002e\" y=\"115.882249\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"332.150735\" xlink:href=\"#m21da5c002e\" y=\"118.997322\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"332.239226\" xlink:href=\"#m21da5c002e\" y=\"118.431332\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"332.055452\" xlink:href=\"#m21da5c002e\" y=\"117.383187\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"331.757598\" xlink:href=\"#m21da5c002e\" y=\"118.609512\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"331.438447\" xlink:href=\"#m21da5c002e\" y=\"118.029892\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"331.146945\" xlink:href=\"#m21da5c002e\" y=\"117.938387\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"330.904248\" xlink:href=\"#m21da5c002e\" y=\"118.310552\"/>\n     <use style=\"fill:#ff7f0e;stroke:#ff7f0e;\" x=\"330.715078\" xlink:href=\"#m21da5c002e\" y=\"118.021356\"/>\n    </g>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 42.620313 225.22582 \nL 42.620313 7.78582 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 377.420313 225.22582 \nL 377.420313 7.78582 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 42.620313 225.22582 \nL 377.420313 225.22582 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 42.620313 7.78582 \nL 377.420313 7.78582 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p6ec0743aca\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"42.620313\" y=\"7.78582\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "eta = 0.6\n",
    "d2l.show_trace_2d(f_2d,d2l.train_2d(momentum_2d))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "torch.Size([1500, 5])\nloss: 0.245469, 0.046741 sec per epoch \n"
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"263.885359pt\" version=\"1.1\" viewBox=\"0 0 392.14375 263.885359\" width=\"392.14375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 263.885359 \nL 392.14375 263.885359 \nL 392.14375 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 50.14375 226.329109 \nL 384.94375 226.329109 \nL 384.94375 8.889109 \nL 50.14375 8.889109 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mb959183dd7\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.361932\" xlink:href=\"#mb959183dd7\" y=\"226.329109\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0.00 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g transform=\"translate(54.229119 240.927546)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"103.407386\" xlink:href=\"#mb959183dd7\" y=\"226.329109\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 0.25 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(92.274574 240.927546)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"141.452841\" xlink:href=\"#mb959183dd7\" y=\"226.329109\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 0.50 -->\n      <g transform=\"translate(130.320028 240.927546)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"179.498295\" xlink:href=\"#mb959183dd7\" y=\"226.329109\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.75 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g transform=\"translate(168.365483 240.927546)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"217.54375\" xlink:href=\"#mb959183dd7\" y=\"226.329109\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1.00 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(206.410938 240.927546)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"255.589205\" xlink:href=\"#mb959183dd7\" y=\"226.329109\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1.25 -->\n      <g transform=\"translate(244.456392 240.927546)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"293.634659\" xlink:href=\"#mb959183dd7\" y=\"226.329109\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 1.50 -->\n      <g transform=\"translate(282.501847 240.927546)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"331.680114\" xlink:href=\"#mb959183dd7\" y=\"226.329109\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 1.75 -->\n      <g transform=\"translate(320.547301 240.927546)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"369.725568\" xlink:href=\"#mb959183dd7\" y=\"226.329109\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 2.00 -->\n      <g transform=\"translate(358.592756 240.927546)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_10\">\n     <!-- epoch -->\n     <defs>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n     </defs>\n     <g transform=\"translate(202.315625 254.605671)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"61.523438\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"125\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"186.181641\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"241.162109\" xlink:href=\"#DejaVuSans-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"me4043c4727\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#me4043c4727\" y=\"210.854759\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.25 -->\n      <g transform=\"translate(20.878125 214.653978)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#me4043c4727\" y=\"170.883651\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.30 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(20.878125 174.68287)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#me4043c4727\" y=\"130.912543\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.35 -->\n      <g transform=\"translate(20.878125 134.711762)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#me4043c4727\" y=\"90.941435\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 0.40 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(20.878125 94.740654)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#me4043c4727\" y=\"50.970327\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0.45 -->\n      <g transform=\"translate(20.878125 54.769546)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#me4043c4727\" y=\"10.999219\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 0.50 -->\n      <g transform=\"translate(20.878125 14.798437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_17\">\n     <!-- loss -->\n     <defs>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n     </defs>\n     <g transform=\"translate(14.798438 127.266921)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"27.783203\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"88.964844\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"141.064453\" xlink:href=\"#DejaVuSans-115\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_16\">\n    <path clip-path=\"url(#pd27a5512e9)\" d=\"M 65.361932 18.772745 \nL 75.507386 97.217959 \nL 85.652841 131.785578 \nL 95.798295 167.808572 \nL 105.94375 189.866588 \nL 116.089205 201.857814 \nL 126.234659 205.815944 \nL 136.380114 207.605365 \nL 146.525568 208.331659 \nL 156.671023 212.339165 \nL 166.816477 214.769016 \nL 176.961932 213.385234 \nL 187.107386 215.20297 \nL 197.252841 216.100837 \nL 207.398295 215.344917 \nL 217.54375 214.642853 \nL 227.689205 214.237417 \nL 237.834659 215.309561 \nL 247.980114 215.40081 \nL 258.125568 214.837512 \nL 268.271023 215.85891 \nL 278.416477 214.25444 \nL 288.561932 214.63399 \nL 298.707386 214.804205 \nL 308.852841 216.440112 \nL 318.998295 215.213036 \nL 329.14375 215.840219 \nL 339.289205 216.177636 \nL 349.434659 216.445472 \nL 359.580114 215.958139 \nL 369.725568 214.477057 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 50.14375 226.329109 \nL 50.14375 8.889109 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 384.94375 226.329109 \nL 384.94375 8.889109 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 50.14375 226.329109 \nL 384.94375 226.329109 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 50.14375 8.889109 \nL 384.94375 8.889109 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pd27a5512e9\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"50.14375\" y=\"8.889109\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEICAYAAABF82P+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nO3dfXRc9X3n8fd3ZvQs2ZIsyTaW/ISNDQkPIcI0PMSQnGQhbZewoYlpkqZNsoRs6Wn/aDfpts3utt09zdmzp013aQmb0ITTFJI2IcsmFNIG6pRSwDIP4cl2jDBYNrZkW7KeNZqZ7/4xV/ZYHskjWXeuRvN5naMzc59mvhpf6zP33t/vd83dERERmS4WdQEiIrI4KSBERCQvBYSIiOSlgBARkbwUECIikpcCQkRE8go1IMzsJjPba2b7zeyLeZbfYGYnzeyF4OdLhW4rIiLhSoT1wmYWB+4GPgD0ALvM7GF3f3Xaqv/s7r8wz23P0NLS4uvXr1+oX0FEZMnbvXv3MXdvzbcstIAAtgH73b0bwMweBG4BZv0jfz7brl+/nq6urvMqWkSknJjZmzMtC/MU0xrgYM50TzBvuveY2Ytm9vdm9o45bouZ3WFmXWbW1dfXtxB1i4gI4QaE5Zk3fVyP54B17n458L+A789h2+xM93vdvdPdO1tb8x4liYjIPIQZED1AR850O3A4dwV3H3T34eD5I0CFmbUUsq2IiIQrzIDYBWw2sw1mVgnsAB7OXcHMVpmZBc+3BfUcL2RbEREJV2gXqd09ZWZ3AY8BceA+d3/FzO4Mlt8D3AZ83sxSwBiww7PDy+bdNqxaRUTkbLaUhvvu7Ox0tWISESmcme129858y9STWkRE8ir7gEhnnLuf2M/OfWoiKyKSq+wDIh4zvrrzdf7x1aNRlyIisqiUfUAAdDTXcrB/NOoyREQWFQUE0NFUy1snFBAiIrkUEEBHcw09/WNkMkunRZeIyPlSQJA9xZRMZegbnoi6FBGRRUMBQfYUE8BBnWYSETlFAUH2CALQhWoRkRwKCKC9qQaAgyfGIq5ERGTxUEAA1RVx2hqqdIpJRCSHAiKgvhAiImdSQAQ6mmp0iklEJIcCItDRXMvbJ8eYTGeiLkVEZFFQQAQ6mmrJOBwe0FGEiAgoIE5pb1ZLJhGRXAqIwKnOcrpQLSICKCBOWb28mkTM1NRVRCSggAgk4jEuaKzhYL9OMYmIgALiDB3NNTqCEBEJKCBydDTV0qNrECIigALiDB3NtRwbTjKaTEVdiohI5BQQOaYG7evRdQgREQVErqlhv986rtNMIiIKiBzqCyEicpoCIkdLfSU1FXH1phYRQQFxBjPLNnXVEYSIiAJiuo6mWvWFEBFBAXGWjuZaevrHcPeoSxERiZQCYpr2phqGJ1IMjE5GXYqISKQUENNMNXXVdQgRKXehBoSZ3WRme81sv5l9cZb1rjKztJndljPvgJm9ZGYvmFlXmHXmOtXUVS2ZRKTMJcJ6YTOLA3cDHwB6gF1m9rC7v5pnvS8Dj+V5mRvd/VhYNebTEdw46C1dqBaRMhfmEcQ2YL+7d7t7EngQuCXPer8BfBfoDbGWgjVUV9BYW6FTTCJS9sIMiDXAwZzpnmDeKWa2BrgVuCfP9g78yMx2m9kdM72Jmd1hZl1m1tXX17cAZaupq4gIhBsQlmfe9LajfwZ8wd3Teda91t2vBG4Gft3M3pvvTdz9XnfvdPfO1tbW86s4sDZo6ioiUs7CDIgeoCNnuh04PG2dTuBBMzsA3Ab8hZl9GMDdDwePvcBDZE9ZFUV7cw2H+sfIZNQXQkTKV5gBsQvYbGYbzKwS2AE8nLuCu29w9/Xuvh74O+A/uPv3zazOzBoAzKwO+CDwcoi1nqGjqZZkOsPRofFivaWIyKITWismd0+Z2V1kWyfFgfvc/RUzuzNYnu+6w5SVwENmNlXj37j7o2HVOt2pvhAnxli9vKZYbysisqiEFhAA7v4I8Mi0eXmDwd1/Ned5N3B5mLXNpiO4cdDBE6Ns29AcVRkiIpFST+o81jTVYKbe1CJS3hQQeVQl4qxsqFZnOREpawqIGXQ019Cj4TZEpIwpIGbQ0VSrU0wiUtYUEDPoaK7lyOA4E6l8ffhERJY+BcQMOpprcYfDA+oLISLlSQExg9ymriIi5UgBMQPdOEhEyp0CYgYrl1VTETfdOEhEypYCYgbxmLGmsUZHECJSthQQs+ho1n0hRKR8KSBm0a4bB4lIGVNAzKKjuYb+0UmGJ1JRlyIiUnQKiFmsPTXst44iRKT8KCBm0dGkgBCR8qWAmMXpvhBq6ioi5UcBMYum2grqKuM6ghCRsqSAmIWZ0dFcS4/6QohIGVJAnEO2qatOMYlI+VFAnENHc7Y3tbtHXYqISFEpIM6ho6mW0WSa4yPJqEsRESkqBcQ5dKgvhIiUKQXEOaxVU1cRKVMKiHNo142DRKRMKSDOoa4qwYq6SjV1FZGyo4AoQHuzmrqKSPlRQBSgo0k3DhKR8qOAKEBHcy2HB8ZIZ9QXQkTKhwKiAB1NtUymnSOD41GXIiJSNAqIAnQ0Z1syvXVcp5lEpHwoIApwui+EAkJEykeoAWFmN5nZXjPbb2ZfnGW9q8wsbWa3zXXbYrigsYaYQY/6QohIGQktIMwsDtwN3AxcAtxuZpfMsN6Xgcfmum2xVMRjrF5eo97UIlJWwjyC2Absd/dud08CDwK35FnvN4DvAr3z2LZo2ptq1JtaRMpKmAGxBjiYM90TzDvFzNYAtwL3zHXbnNe4w8y6zKyrr6/vvIueSUdzra5BiEhZCTMgLM+86R0J/gz4grun57Ftdqb7ve7e6e6dra2t8yizMB1NtRwdnGB8cnqpIiJLUyLE1+4BOnKm24HD09bpBB40M4AW4ENmlipw26Kaaup6aGCMC1vroyxFRKQowgyIXcBmM9sAHAJ2AL+cu4K7b5h6bmbfAH7g7t83s8S5ti223PtCKCBEpByEFhDunjKzu8i2TooD97n7K2Z2Z7B8+nWHc24bVq2F6GjSjYNEpLyEeQSBuz8CPDJtXt5gcPdfPde2UWprqKIyEVNTVxEpG+pJXaBYzOhoqqG7byTqUkREikIBMQed65p5pvs4k+lM1KWIiIROATEHN25tY2gixa4DJ6IuRUQkdAqIObhucwuV8RhP7Ok998oiIiVOATEH9VUJrt7YzOMKCBEpAwqIObpxSxuv943o3hAisuQpIObofVvbAHh8z9GIKxERCZcCYo7Wt9SxsaWOx/eGNzCgiMhioICYhxu3tvF093FGk6moSxERCY0CYh7et7WNZCrDv+w/HnUpIiKhUUDMw1Xrm6mvSug6hIgsaQqIeahMxLh+cwtP7OnDPe9tKkRESp4CYp5u3NrGkcFxXn17MOpSRERCoYCYpxu2ZO9ep17VIrJUFRQQZvabZrbMsr5uZs+Z2QfDLm4xa2uo5rL25epVLSJLVqFHEJ9290Hgg0Ar8GvAn4RWVYm4cUsbzx8c4MRIMupSREQWXKEBYcHjh4C/cvcXc+aVrfdtbcMddu7TUYSILD2FBsRuM/sR2YB4zMwagLK/KcKla5bTUl/F43vUq1pElp5Cbzn6GeAKoNvdR82smexpprIWixk3bGnlR68cIZXOkIjrmr+ILB2F/kV7D7DX3QfM7BPA7wMnwyurdLx/axuD4yl2v9kfdSkiIguq0ID4S2DUzC4H/iPwJnB/aFWVkOs2t1ARNx7fq+sQIrK0FBoQKc92Gb4F+Iq7fwVoCK+s0tFQXcFV65vVH0JElpxCA2LIzH4X+CTwQzOLAxXhlVVa3re1jX1Hh+np102ERGTpKDQgPgZMkO0PcQRYA/yP0KoqMTcGNxHSUYSILCUFBUQQCt8ClpvZLwDj7q5rEIGNLXWsW1GrXtUisqQUOtTGR4FngV8CPgo8Y2a3hVlYKTEzbtzSxlOvH2csmY66HBGRBVHoKabfA65y90+5+68A24A/CK+s0vP+i9uYSGV46vVjUZciIrIgCg2ImLvnnj85Podty8K2Dc3UVsZ1mklEloxCe1I/amaPAQ8E0x8DHgmnpNJUlYhz3aYWntjTi7tjVvZDVYlIiSv0IvXvAPcClwGXA/e6+xfCLKwUvW9rG4dPjrP36FDUpYiInLdCjyBw9+8C3w2xlpI31dz18T29bF21LOJqRETOz6xHEGY2ZGaDeX6GzOyc99o0s5vMbK+Z7TezL+ZZfouZ/dTMXjCzLjO7LmfZATN7aWrZ/H694lq5rJp3XLBM/SFEZEmY9QjC3ec9nEbQ2/pu4ANAD7DLzB5291dzVvsx8LC7u5ldBnwH2Jqz/EZ3L6lmQe/b2sbdT+xnYDRJY21l1OWIiMxbmC2RtgH73b3b3ZPAg2THcjrF3YeDMZ4A6gCnxN24tY2Mw859ukeEiJS2MANiDXAwZ7onmHcGM7vVzPYAPwQ+nbPIgR+Z2W4zu2OmNzGzO4LTU119fdH/Ub68vZEVdZVq7ioiJS/MgMjXzvOsIwR3f8jdtwIfBv4oZ9G17n4lcDPw62b23nxv4u73ununu3e2trYuRN3nJR4ztm9p5Sf7+khnSv6ASETKWJgB0QN05Ey3A4dnWtndfwJcaGYtwfTh4LEXeIjsKauSsP2iVvpHJ3npkO6pJCKlK8yA2AVsNrMNZlYJ7AAezl3BzDZZ0KPMzK4EKoHjZlYX3PcaM6sDPgi8HGKtC+r6za2Ywc690Z/yEhGZr9ACwt1TwF3AY8BrwHfc/RUzu9PM7gxW+wjwspm9QLbF08eCi9YrgSfN7EWygwT+0N0fDavWhdZcV8ll7Y3s3KfrECJSugruKDcf7v4I04bkcPd7cp5/Gfhynu26yfbYLlnbL2rlfz/+MzV3FZGSpQH3QrL9olYyDk/uL6luHCIipyggQnJFRyPLayp0HUJESpYCIiTxmHH95hZ27uvjdF9AEZHSoYAI0faLWukdmuC1tzW6q4iUHgVEiLZflO24p2E3RKQUKSBC1LasmotXL1NzVxEpSQqIkG2/qJWuA/0MT6SiLkVEZE4UECHbflErqYzzlJq7ikiJUUCE7N3rmqirjOs6hIiUHAVEyCoTMa7ZpOauIlJ6FBBFsP2iVnr6x+g+NhJ1KSIiBVNAFMGp5q7qVS0iJUQBUQQdzbVc2Fqn6xAiUlIUEEWy/aI2nu4+zvhkOupSREQKooAoku1bWplIZXi6+3jUpYiIFEQBUSRXb2imKhHTaSYRKRkKiCKprojzcxtXKCBEpGQoIIpo+0WtdPeNcPDEaNSliIickwKiiLZv0eiuIlI6FBBFtLGljvamGgWEiJQEBUQRmRnbL2rlqf3HSKYyUZcjIjIrBUSR3bCljZFkmt1v9kddiojIrBQQRfaeC1dQETedZhKRRU8BUWT1VQk61zUrIERk0VNARGD7llZee3uQo4PjUZciIjIjBUQETo3uqqMIEVnEFBAR2LqqgbaGKgWEiCxqCogITDV3ffJnx0il1dxVRBYnBUREtm9p5eTYJC/2nIy6FBGRvBQQEbluUwsx03UIEVm8FBARaayt5IqORgWEiCxaoQaEmd1kZnvNbL+ZfTHP8lvM7Kdm9oKZdZnZdYVuuxS8/+KVvHhwgP29Q1GXIiJyltACwsziwN3AzcAlwO1mdsm01X4MXO7uVwCfBr42h21L3o6rOqiuiHHvT7qjLkVE5CxhHkFsA/a7e7e7J4EHgVtyV3D3YXf3YLIO8EK3XQpW1Ffx0c4OHnr+kDrNiciiE2ZArAEO5kz3BPPOYGa3mtke4IdkjyIK3jbY/o7g9FRXX1/pnc//7HUbSWecv/qXA1GXIiJyhjADwvLM87NmuD/k7luBDwN/NJdtg+3vdfdOd+9sbW2dd7FRWbuilpsvXc23nn6TofHJqMsRETklzIDoATpyptuBwzOt7O4/AS40s5a5blvqPvfejQxNpHjg2beiLkVE5JQwA2IXsNnMNphZJbADeDh3BTPbZGYWPL8SqASOF7LtUnJZeyPXXLiC+548oBsJiciiEVpAuHsKuAt4DHgN+I67v2Jmd5rZncFqHwFeNrMXyLZa+phn5d02rFoXg89tv5Ajg+M8/OKSPVASkRJjpxsRlb7Ozk7v6uqKuox5cXdu/so/k3Hn0d98L7FYvsswIiILy8x2u3tnvmXqSb1ImBmf276RfUeH+ad9vVGXIyKigFhMfuGyC7hgeTX37FTHORGJngJiEamIx/jM9Rt59o0TPP9Wf9TliEiZU0AsMjuu6mB5TYWG3xCRyCkgFpm6qgSf+Lm1PPrKEd44NhJ1OSJSxhQQi9CnrllPRTzG//lnHUWISHQUEItQW0M1H7mynb/b3UPf0ETU5YhImVJALFL//voNTKYz3P+vB6IuRUTKlAJikdrYWs+/uWQV9//rm4xMpKIuR0TKkAJiEbtj+0ZOjk3y7V0Hz72yiMgCU0AsYleubWLb+ma+/uQbTKY1iJ+IFJcCYpH73PaNHBoY45GX3o66FBEpMwqIRe7GLW1sbqvnnp3dLKWBFUVk8VNALHKxmPH5Gy7ktbcH+fMf74+6HBEpIwqIEnDru9bwkSvb+dN/3Kf7RYhI0SggSoCZ8d//3TvZtr6Z3/7bF3lOA/mJSBEoIEpEVSLOPZ98N6uXV3PH/V0cPDEadUkissQpIEpIc10lX//UVSRTGT77zS6GxiejLklEljAFRInZ1FbPX37i3bzeN8xvPPA8KfWPEJGQKCBK0LWbWvijD7+Tf9rbxx//8LWoyxGRJSoRdQEyP7dvW8vrvcN87ck32Nhax6+8Z33UJYnIEqOAKGG/+6GLOXB8lP/6/15l3Yo6tl/UGnVJIrKE6BRTCYvHjK/suIKLVjZw17eeY9/RoahLEpElRAFR4uqqEnz9U53UVMb59Dd2cWxYNxgSkYWhgFgCLmis4Wuf6uTY8AR33N/F2yfHoi5JRJYABcQScVl7I3/60St4seck1/7J43z6G7t49OUjGiZcROZNF6mXkJsvXc0TFyznO10H+dvdB7nzr3tpqa/iI+9ew8c6O9jYWh91iSJSQmwpDSHd2dnpXV1dUZexKKTSGXbu6+Pbuw7y4z29pDPOtg3N7Liqg5vfuZqaynjUJYrIImBmu929M+8yBcTS1zs0znd3H+Lbu97iwPFRGqoT3HLFBVxzYQtbVjWwfkUd8ZhFXaaIREABIQC4O8+8cYLv7DrID196m4lU9vpEVSLG5pX1bFm5jK2rGtiyqoGtqxtora/CTMEhspQpIOQs45NpfnZ0mD1HBtl7ZIi9R4fYc2SIvqHTzWSb6yrZsrKB1Y3VNNVW0lhTQWNtBctrK2mqraCxppLG2uy8+qqEwkSkBM0WEKFepDazm4CvAHHga+7+J9OWfxz4QjA5DHze3V8Mlh0AhoA0kJrpF5D5qa6Ic2n7ci5tX37G/OPDE9mweHvoVHA8032CgdEkI8n0jK8XjxnvXLOcHVd18IuXX0B9ldo/iJS60I4gzCwO7AM+APQAu4Db3f3VnHWuAV5z934zuxn4L+5+dbDsANDp7scKfU8dQYQrmcpwcmySgdEkA2OTDIxO0j+a5OToJMdHkjyxp5e9R4eorYzzby+/gB3b1nJ5+3IdWYgsYlEdQWwD9rt7d1DEg8AtwKmAcPenctZ/GmgPsR45T5WJGK0NVbQ2VOVd/oWbtvD8wQEefPYt/u8Lh3lw10G2rmrg9m1r+fC71rC8pqLIFYvI+QjzCOI24CZ3/2ww/Ungane/a4b1fxvYmrP+G0A/4MBX3f3eGba7A7gDYO3ate9+8803F/x3kbkbGp/k4RcP88Czb/HyoUGqEjF+/tLV7Ni2lqvWN+moQmSRiOoIIt9fgLxpZGY3Ap8BrsuZfa27HzazNuAfzGyPu//krBfMBse9kD3FdP5ly0JoqK7g41ev4+NXr+PlQyd5IDiq+N7zh1jTWMPVG5vZtr6ZbRua2dBSp8AQWYTCDIgeoCNnuh04PH0lM7sM+Bpws7sfn5rv7oeDx14ze4jsKauzAkIWv3euWc5/u/VSfu/nL+YHP32bx1/rZefePr733CEAWuoruWp9M1cFgXHx6mVn9ctwd3qHJnjz+ChvHh/hrROjvHVilDePj9I/mmRDSx1bVy3j4tUNbF21jI2tdVTES2skmWQqQ8wgUWJ155PJZL+rxdS/pqSFeYopQfYi9fuBQ2QvUv+yu7+Ss85a4HHgV3KvR5hZHRBz96Hg+T8Af+juj872nrpIXTrcndf7Rth14AS73jjBM2+c4NBAdpDBhqoEV65rYkNLHT39Y7x1IhsI45Onx5WKWXaQwnUrammsraS7b4T9vUNMprP7c0Xc2NTWwMWn+nUsY8vKBlobqha0U6C7MzyRYmB0kpNjk8FF/EkGxpIMjE4yGEwPJ1OMJdPZn8k045NpRqeeB4+pjGMGK+qqWLW8ilXLaoLHalYuq2bV8urs8+XVNMyxWXEm44wkUwxPpBgeTzE0kWJoPPt8eGKS0WSa5rpK2hqqaVtWxcpl1QW1RBtNpujuG+H1vmFe7x1mf98wr/eO8MaxEZLpDFWJGNUVcWoq4tRUxqlKxKipjFOdyE5XV8SojMdIxGMkYkY8ZiRilnd6WXWCC9vq2dzWwMpl59dHx90ZSaapqYiXVCfRVDrDoYEx3jg2woFjIxw4Pkr3sREyGeevP3v1vF4zklNM7p4ys7uAx8g2c73P3V8xszuD5fcAXwJWAH8R/GNPNWddCTwUzEsAf3OucJDSYmZsaqtnU1s9t29bC8DhgTF2HTjBs29kf3YdOEF7Uw1rm+u4fnMr61bUsra5lnUr6ljTWENl4sxv2pPpDN19I+w5Mshrbw+x98gg/9p9nO89f+jUOjHL9u9oqa+ipb6KFfWnn7cEz5vrKhmfTNM/mqQ/aKk1MDpJ/0h2emA0yYlg3smxSdKZmb9kVSZiNNZUUF+doLYy+4eyoTpBW0MVNZVxaivjp/+AVsSZzDhHT45zZHCcnv5Rut48wcDo5NmvG48Ri0HMjLgZZtlv6zGb+skuAxiZSDGcTDHX74J1lXFWLqumtSEbGCuXVbGivorewQle7xtmf+/wqVCf+mzXNteyqa2e7VtaqamIM57KBuD4ZIaxydPhOD6ZpndokrFkmsm0k844qUyGVNpJZc6enq6+KhsWm1rr2bwy+7iprZ6O5lriMSOVznB0aIJD/WMcGhgNHsfoCR4PD4yd+sLRUJVgWU0FDdUJllVXsKxm6rGCZdUJGqorqA7Crbpi9sfKqZ94LPg3Onf4pNIZRpJpRpMpRibSjEykGEmmGJ1Ic2RwnAPHsoH7xvERDp4YPfUlaOrfaENrHZvbGnD3BT9Vq45ysuQNjCbZc2SInx0dondogmPDExwbTgaPExwbSjI2OXMfD8j2Nm+qzXYMbK6rPPW8MegwuLy2guU1FUFnwsrs89oKqivOf8yr8ck0RwfHORIEx9HBcU6MTOKe/UOacci4Z6c9Oz21DKC+KhtQDVWJ7GN1gvqqqcfsH8bqijj9o0mODo7TOziRfRyaOD09lH3f8ckMNRVxNrbWsamtnguDP8wXttazvqWWqsTCj/Hlwe90fGSC/b3BkUrvMD8LHntzOndWJmKsqKukd2jirOBeUVfJmqYa1jRmf1oaqhhLphkcn2RwLMXQ+OSp54PjkwyNZx/P509kImanQqMiCI2qRIxkOsNoMhsGUyMazKQqEWP9ijo2tNSxvqWODS21bGjJft4LMdqBelKLnMNoMsWxoSR9wxP0jySpqYzTWFtBU202DDS44enTMrUV8UV1beHk2OTp4Ogb5tjwBKuXV7OmsfaMQJjPv+HUqbnxyQzjk2kmUqcfJ3Kmx1PZo6TJdIZkKsNEKvs4NZ2cekxlmEhnqIzHqK2MU1+VoLYyQV1V/NRjXWWC2qrsshX1VaxeVh3q562AEBGRvGYLiNJvLiEiIqFQQIiISF4KCBERyUsBISIieSkgREQkLwWEiIjkpYAQEZG8FBAiIpLXkuooZ2Z9wHxvCNECFHz3uiJSXXOjuuZGdc3NUqxrnbu35luwpALifJhZ12K877XqmhvVNTeqa27KrS6dYhIRkbwUECIikpcC4rS897xeBFTX3KiuuVFdc1NWdekahIiI5KUjCBERyUsBISIieS35gDCzm8xsr5ntN7Mv5lluZvbnwfKfmtmVhW4bcl0fD+r5qZk9ZWaX5yw7YGYvmdkLZragd0gqoK4bzOxk8N4vmNmXCt025Lp+J6eml80sbWbNwbIwP6/7zKzXzF6eYXlU+9e56opq/zpXXVHtX+eqK6r9q8PMnjCz18zsFTP7zTzrhLePeXAv26X4A8SB14GNQCXwInDJtHU+BPw9YMDPAc8Uum3IdV0DNAXPb56qK5g+ALRE9HndAPxgPtuGWde09X8ReDzszyt47fcCVwIvz7C86PtXgXUVff8qsK6i71+F1BXh/rUauDJ43gDsK+bfsKV+BLEN2O/u3e6eBB4Ebpm2zi3A/Z71NNBoZqsL3Da0utz9KXfvDyafBtoX6L3Pq66Qtl3o174deGCB3ntW7v4T4MQsq0Sxf52zroj2r0I+r5lE+nlNU8z96213fy54PgS8BqyZtlpo+9hSD4g1wMGc6R7O/nBnWqeQbcOsK9dnyH5DmOLAj8xst5ndsUA1zaWu95jZi2b292b2jjluG2ZdmFktcBPw3ZzZYX1ehYhi/5qrYu1fhSr2/lWwKPcvM1sPvAt4Ztqi0PaxxFyLLDGWZ970dr0zrVPItvNV8Gub2Y1k/wNflzP7Wnc/bGZtwD+Y2Z7gG1Ax6nqO7Ngtw2b2IeD7wOYCtw2zrim/CPyLu+d+Gwzr8ypEFPtXwYq8fxUiiv1rLiLZv8ysnmwo/Za7D05fnGeTBdnHlvoRRA/QkTPdDhwucJ1Ctg2zLszsMuBrwC3ufnxqvrsfDh57gYfIHkoWpS53H3T34eD5I0CFmbUUsm2YdeXYwbTD/xA/r0JEsX8VJIL965wi2r/mouj7l5lVkA2Hb7n79/KsEt4+FsaFlcXyQ/YIqRvYwOmLNO+Yts7Pc+YFnmcL3TbkutYC+4Frps2vAxpynj8F3FTEulZxuoPlNqi4Vg4AAAKrSURBVOCt4LOL9PMK1ltO9jxyXTE+r5z3WM/MF12Lvn8VWFfR968C6yr6/lVIXVHtX8Hvfj/wZ7OsE9o+tqRPMbl7yszuAh4je0X/Pnd/xczuDJbfAzxCthXAfmAU+LXZti1iXV8CVgB/YWYAKc+O1rgSeCiYlwD+xt0fLWJdtwGfN7MUMAbs8OzeGPXnBXAr8CN3H8nZPLTPC8DMHiDb8qbFzHqA/wxU5NRV9P2rwLqKvn8VWFfR968C64II9i/gWuCTwEtm9kIw7z+RDfjQ9zENtSEiInkt9WsQIiIyTwoIERHJSwEhIiJ5KSBERCQvBYSIiOSlgBBZBIJRTH8QdR0iuRQQIiKSlwJCZA7M7BNm9mww9v9XzSxuZsNm9j/N7Dkz+7GZtQbrXmFmTwdj9D9kZk3B/E1m9o/BgHTPmdmFwcvXm9nfmdkeM/uWBb2vRKKigBApkJldDHyM7OBsVwBp4ONkh1h4zt2vBHaS7YUL2SESvuDulwEv5cz/FnC3u19O9r4Mbwfz3wX8FnAJ2TH8rw39lxKZxZIeakNkgb0feDewK/hyXwP0Ahng28E6fw18z8yWA43uvjOY/03gb82sAVjj7g8BuPs4QPB6z7p7TzD9AtmxgZ4M/9cSyU8BIVI4A77p7r97xkyzP5i23mzj18x22mgi53ka/f+UiOkUk0jhfgzcFoz7j5k1m9k6sv+PbgvW+WXgSXc/CfSb2fXB/E8COz07ln+PmX04eI2q4CY0IouOvqGIFMjdXzWz3yd797AYMAn8OjACvMPMdgMnyV6nAPgUcE8QAN0Eo2ySDYuvmtkfBq/xS0X8NUQKptFcRc6TmQ27e33UdYgsNJ1iEhGRvHQEISIieekIQkRE8lJAiIhIXgoIERHJSwEhIiJ5KSBERCSv/w+858Avabd+PAAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "features,labels = d2l.get_data_ch7()\n",
    "print(features.shape)\n",
    "\n",
    "def init_momentum_states():\n",
    "    v_w = torch.zeros((features.shape[1],1),dtype=torch.float32)\n",
    "    v_b = torch.zeros(1,dtype=torch.float32)\n",
    "\n",
    "    return (v_w,v_b)\n",
    "\n",
    "def sgd_momentum(params,states,hyperparams):\n",
    "\n",
    "    for p,v in zip(params,states):\n",
    "        v.data = hyperparams[\"momentum\"] * v.data + hyperparams[\"lr\"] * p.grad.data\n",
    "        p.data -= v.data\n",
    "\n",
    "d2l.train_ch7(sgd_momentum,init_momentum_states(),{\"lr\":0.02,\"momentum\":0.5},features,labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "loss: 0.267192, 0.040559 sec per epoch \n"
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"263.800569pt\" version=\"1.1\" viewBox=\"0 0 392.14375 263.800569\" width=\"392.14375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 263.800569 \nL 392.14375 263.800569 \nL 392.14375 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 50.14375 226.244319 \nL 384.94375 226.244319 \nL 384.94375 8.804319 \nL 50.14375 8.804319 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m6142315ebd\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.361932\" xlink:href=\"#m6142315ebd\" y=\"226.244319\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0.00 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g transform=\"translate(54.229119 240.842756)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"103.407386\" xlink:href=\"#m6142315ebd\" y=\"226.244319\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 0.25 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(92.274574 240.842756)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"141.452841\" xlink:href=\"#m6142315ebd\" y=\"226.244319\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 0.50 -->\n      <g transform=\"translate(130.320028 240.842756)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"179.498295\" xlink:href=\"#m6142315ebd\" y=\"226.244319\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.75 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g transform=\"translate(168.365483 240.842756)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"217.54375\" xlink:href=\"#m6142315ebd\" y=\"226.244319\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1.00 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(206.410938 240.842756)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"255.589205\" xlink:href=\"#m6142315ebd\" y=\"226.244319\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1.25 -->\n      <g transform=\"translate(244.456392 240.842756)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"293.634659\" xlink:href=\"#m6142315ebd\" y=\"226.244319\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 1.50 -->\n      <g transform=\"translate(282.501847 240.842756)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"331.680114\" xlink:href=\"#m6142315ebd\" y=\"226.244319\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 1.75 -->\n      <g transform=\"translate(320.547301 240.842756)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"369.725568\" xlink:href=\"#m6142315ebd\" y=\"226.244319\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 2.00 -->\n      <g transform=\"translate(358.592756 240.842756)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_10\">\n     <!-- epoch -->\n     <defs>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n     </defs>\n     <g transform=\"translate(202.315625 254.520881)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"61.523438\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"125\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"186.181641\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"241.162109\" xlink:href=\"#DejaVuSans-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mf7a36637d8\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mf7a36637d8\" y=\"212.052819\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.25 -->\n      <g transform=\"translate(20.878125 215.852038)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mf7a36637d8\" y=\"171.842099\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.30 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(20.878125 175.641318)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mf7a36637d8\" y=\"131.631379\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.35 -->\n      <g transform=\"translate(20.878125 135.430598)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mf7a36637d8\" y=\"91.420659\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 0.40 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(20.878125 95.219878)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mf7a36637d8\" y=\"51.209939\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0.45 -->\n      <g transform=\"translate(20.878125 55.009158)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mf7a36637d8\" y=\"10.999219\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 0.50 -->\n      <g transform=\"translate(20.878125 14.798437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_17\">\n     <!-- loss -->\n     <defs>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n     </defs>\n     <g transform=\"translate(14.798438 127.182131)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"27.783203\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"88.964844\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"141.064453\" xlink:href=\"#DejaVuSans-115\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_16\">\n    <path clip-path=\"url(#p45429af14c)\" d=\"M 65.361932 18.687955 \nL 75.507386 178.670035 \nL 85.652841 207.745867 \nL 95.798295 211.063107 \nL 105.94375 188.057944 \nL 116.089205 215.690241 \nL 126.234659 212.462124 \nL 136.380114 209.054251 \nL 146.525568 208.450175 \nL 156.671023 189.435833 \nL 166.816477 207.577951 \nL 176.961932 213.865982 \nL 187.107386 213.732015 \nL 197.252841 214.567461 \nL 207.398295 189.155629 \nL 217.54375 213.197493 \nL 227.689205 206.719988 \nL 237.834659 215.380377 \nL 247.980114 212.29525 \nL 258.125568 213.828089 \nL 268.271023 201.267895 \nL 278.416477 179.801251 \nL 288.561932 198.318484 \nL 298.707386 202.42665 \nL 308.852841 209.608714 \nL 318.998295 216.360682 \nL 329.14375 208.197654 \nL 339.289205 210.263337 \nL 349.434659 207.04319 \nL 359.580114 198.661986 \nL 369.725568 198.226832 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 50.14375 226.244319 \nL 50.14375 8.804319 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 384.94375 226.244319 \nL 384.94375 8.804319 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 50.14375 226.244319 \nL 384.94375 226.244319 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 50.14375 8.804319 \nL 384.94375 8.804319 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p45429af14c\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"50.14375\" y=\"8.804319\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "d2l.train_ch7(sgd_momentum,init_momentum_states(),{\"lr\":0.02,\"momentum\":0.9},features,labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "loss: 0.244516, 0.050089 sec per epoch \n"
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 392.14375 262.19625\" width=\"392.14375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.19625 \nL 392.14375 262.19625 \nL 392.14375 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 50.14375 224.64 \nL 384.94375 224.64 \nL 384.94375 7.2 \nL 50.14375 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"md8e6ae922c\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.361932\" xlink:href=\"#md8e6ae922c\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0.00 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g transform=\"translate(54.229119 239.238438)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"103.407386\" xlink:href=\"#md8e6ae922c\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 0.25 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(92.274574 239.238438)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"141.452841\" xlink:href=\"#md8e6ae922c\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 0.50 -->\n      <g transform=\"translate(130.320028 239.238438)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"179.498295\" xlink:href=\"#md8e6ae922c\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.75 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g transform=\"translate(168.365483 239.238438)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"217.54375\" xlink:href=\"#md8e6ae922c\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1.00 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(206.410938 239.238438)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"255.589205\" xlink:href=\"#md8e6ae922c\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1.25 -->\n      <g transform=\"translate(244.456392 239.238438)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"293.634659\" xlink:href=\"#md8e6ae922c\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 1.50 -->\n      <g transform=\"translate(282.501847 239.238438)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"331.680114\" xlink:href=\"#md8e6ae922c\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 1.75 -->\n      <g transform=\"translate(320.547301 239.238438)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"369.725568\" xlink:href=\"#md8e6ae922c\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 2.00 -->\n      <g transform=\"translate(358.592756 239.238438)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_10\">\n     <!-- epoch -->\n     <defs>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n     </defs>\n     <g transform=\"translate(202.315625 252.916563)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"61.523438\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"125\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"186.181641\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"241.162109\" xlink:href=\"#DejaVuSans-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mc96daf4f3c\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mc96daf4f3c\" y=\"208.921023\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.25 -->\n      <g transform=\"translate(20.878125 212.720241)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mc96daf4f3c\" y=\"170.201113\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.30 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(20.878125 174.000331)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mc96daf4f3c\" y=\"131.481203\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.35 -->\n      <g transform=\"translate(20.878125 135.280421)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mc96daf4f3c\" y=\"92.761293\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 0.40 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(20.878125 96.560511)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mc96daf4f3c\" y=\"54.041383\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0.45 -->\n      <g transform=\"translate(20.878125 57.840601)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#mc96daf4f3c\" y=\"15.321473\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 0.50 -->\n      <g transform=\"translate(20.878125 19.120691)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_17\">\n     <!-- loss -->\n     <defs>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n     </defs>\n     <g transform=\"translate(14.798438 125.577813)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"27.783203\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"88.964844\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"141.064453\" xlink:href=\"#DejaVuSans-115\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_16\">\n    <path clip-path=\"url(#pb5bdee45de)\" d=\"M 65.361932 17.083636 \nL 75.507386 48.667201 \nL 85.652841 99.392561 \nL 95.798295 141.230481 \nL 105.94375 176.555107 \nL 116.089205 197.363473 \nL 126.234659 205.257253 \nL 136.380114 208.850032 \nL 146.525568 210.114004 \nL 156.671023 210.717943 \nL 166.816477 211.412686 \nL 176.961932 211.941273 \nL 187.107386 213.113899 \nL 197.252841 210.922133 \nL 207.398295 209.50051 \nL 217.54375 210.73104 \nL 227.689205 213.134993 \nL 237.834659 214.450488 \nL 247.980114 214.50987 \nL 258.125568 213.455973 \nL 268.271023 213.274285 \nL 278.416477 214.21378 \nL 288.561932 213.153283 \nL 298.707386 213.234682 \nL 308.852841 214.051235 \nL 318.998295 214.239778 \nL 329.14375 214.135196 \nL 339.289205 214.756364 \nL 349.434659 214.318811 \nL 359.580114 213.482549 \nL 369.725568 213.167707 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 50.14375 224.64 \nL 50.14375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 384.94375 224.64 \nL 384.94375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 50.14375 224.64 \nL 384.94375 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 50.14375 7.2 \nL 384.94375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pb5bdee45de\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"50.14375\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEGCAYAAAB/+QKOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nO3de3Sc9X3n8fd3RndZV0u2sHyRAGMwBhsjRIEEcHMzSRsnW9pA03bb5hwObUjaf7qhu91sT7t/NGfPnpO0ISUuZbc5CWG7SaFsuCYpl0AKWAYDNrYTY4wtBEi2rPt95rt/zCN7EGN5JOvRMzP6vM6ZM/NcfjNfjR/PZ57f73meMXdHRERkpljUBYiISG5SQIiISEYKCBERyUgBISIiGSkgREQko6KoC1hIDQ0N3tLSEnUZIiJ5Y/fu3cfdvTHTsoIKiJaWFjo6OqIuQ0Qkb5jZW2dapi4mERHJSAEhIiIZKSBERCSjUAPCzLab2UEzO2Rmd2ZYfqOZ9ZvZnuD21WzbiohIuEIbpDazOHAX8DGgE9hlZg+5++szVv2Zu//aPNuKiEhIwtyDaAcOufthd58A7gd2LEJbERFZAGEGRDNwLG26M5g30zVm9oqZPWpml86xLWZ2m5l1mFlHT0/PQtQtIiKEGxCWYd7Ma4u/BKxz983A3wEPzqFtaqb7Tndvc/e2xsaM53rMamwywc5n3uC5Q8fn3FZEpJCFGRCdwJq06dVAV/oK7j7g7kPB40eAYjNryKbtQimOx9j5zJvc9+LRMJ5eRCRvhRkQu4D1ZtZqZiXALcBD6SuYWZOZWfC4PajnRDZtF0o8Znzi0pU8eaCbsclEGC8hIpKXQgsId58C7gAeB/YD/+zu+8zsdjO7PVjtZmCvmb0C/C1wi6dkbBtWrds3NTEykeBnv1Q3k4jItFCvxRR0Gz0yY97daY+/CXwz27Zh+ZXzl1NdVsRje9/lYxtXLsZLiojkPJ1JTWoc4qMbV/KT/e8xmUhGXY6ISE5QQAS2X9pE/+gkLxzujboUEZGcoIAIXH9RIxUlcR7d+07UpYiI5AQFRKCsOM62DSt4fN97JJIZT7kQEVlSFBBpPrGpieND47x89GTUpYiIRE4BkWbbhkZK4jEe2/tu1KWIiEROAZGmqqyYD69v4NG97+KubiYRWdoUEDN8YlMTb/eNsq9rIOpSREQipYCY4aOXrCQeM3UziciSp4CYob6yhKtb63lsnwJCRJY2BUQG2zc1cah7iEPdg1GXIiISGQVEBp+4tAlA3UwisqQpIDJYWV3G1rW16mYSkSVNAXEG2zc1sfftAY71jkRdiohIJBQQZzDdzfS49iJEZIlSQJzBuuWVXHJetcYhRGTJUkDM4qZNTew+epLugbGoSxERWXQKiFls39SEOzzx+ntRlyIisugUELNYv2IZ5zdUahxCRJYkBcQszIxPbGri3984Qd/IRNTliIgsKgXEWdy0qYmppPOT/d1RlyIisqgUEGdxWXMNq2rKdDSTiCw5CoizmO5meuaXPQyPT0VdjojIolFAZGH7pU1MTCV58qC6mURk6VBAZKGtpZ6GZSXqZhKRJUUBkYV4zPjYxiaePNDN2GQi6nJERBaFAiJL2zc1MTyR4LlDx6MuRURkUSggsnTN+cupKivSSXMismQoILJUUhTj6tZ6dr91MupSREQWhQJiDjY113D4+DBDOtxVRJaAUAPCzLab2UEzO2Rmd86y3lVmljCzm9PmHTGz18xsj5l1hFlnti5rrsEdXu8aiLoUEZHQhRYQZhYH7gJuAjYCt5rZxjOs9zXg8QxPs83dt7h7W1h1zsVlzTUAvPZ2f8SViIiEL8w9iHbgkLsfdvcJ4H5gR4b1vgT8EMj5s9BWVJexsrqU1zr7oi5FRCR0YQZEM3AsbbozmHeKmTUDnwXuztDegSfMbLeZ3XamFzGz28ysw8w6enp6FqDs2V3WXKM9CBFZEsIMCMswz2dMfx34irtnOvvsOnffSqqL6otmdn2mF3H3ne7e5u5tjY2N51ZxFjRQLSJLRZgB0QmsSZteDXTNWKcNuN/MjgA3A98ys88AuHtXcN8NPECqyypyGqgWkaUizIDYBaw3s1YzKwFuAR5KX8HdW929xd1bgB8Af+zuD5pZpZlVAZhZJfBxYG+ItWZNA9UislQUhfXE7j5lZneQOjopDtzr7vvM7PZgeaZxh2krgQfMbLrG+9z9sbBqnQsNVIvIUhFaQAC4+yPAIzPmZQwGd//9tMeHgc1h1nYuNFAtIkuBzqSeBw1Ui8hSoICYBw1Ui8hSoICYBw1Ui8hSoICYBw1Ui8hSoICYJw1Ui0ihU0DMkwaqRaTQKSDmSQPVIlLoFBDzpIFqESl0Coh50kC1iBQ6BcQ50EC1iBQyBcQ50EC1iBQyBcQ50EC1iBQyBcQ50EC1iBQyBcQ50EC1iBQyBcQ50kC1iBQqBcQ50kC1iBQqBcQ50kC1iBQqBcQ50kC1iBQqBcQ5mh6o3quAEJECo4BYAJc11/CqjmQSkQKjgFgAGqgWkUKkgFgAGqgWkUKkgFgAGqgWkUKkgFgAGqgWkUKkgFggGqgWkUKjgFggGqgWkUKjgFggGqgWkUKjgFggGqgWkUKjgFggGqgWkUKjgFhAGqgWkUISakCY2XYzO2hmh8zszlnWu8rMEmZ281zb5hINVItIIQktIMwsDtwF3ARsBG41s41nWO9rwONzbZtrNFAtIoUkzD2IduCQux929wngfmBHhvW+BPwQ6J5H25yigWoRKSRhBkQzcCxtujOYd4qZNQOfBe6ea9u057jNzDrMrKOnp+eciz4XGqgWkUISZkBYhnk+Y/rrwFfcPTGPtqmZ7jvdvc3d2xobG+dR5sLSQLWIFIqiEJ+7E1iTNr0a6JqxThtwv5kBNACfNLOpLNvmpE3NNfz0QDdD41MsKw3z7RURCVeYexC7gPVm1mpmJcAtwEPpK7h7q7u3uHsL8APgj939wWza5ioNVItIoQgtINx9CriD1NFJ+4F/dvd9Zna7md0+n7Zh1bqQNFAtIoUi1D4Qd38EeGTGvJkD0tPzf/9sbfOBBqpFpFDoTOoQXNZcyyvHNFAtIvlNARGCtpY6Dh8f5vjQeNSliIjMmwIiBO2t9QDserM34kpEROZPARGCTatqKC+O84ICQkTymAIiBCVFMbauq1VAiEheU0CE5OrW5Rx4d4D+kcmoSxERmRcFREjaW+txh463tBchIvlJARGSLWtqKYnHeFHdTCKSpxQQISkrjrN5TY3GIUQkbykgQtTeWs/et/sZ1i/MiUgeUkCEqL11OVNJ5+WjOqtaRPJPVgFhZn9iZtWW8o9m9pKZfTzs4vLdlevqiBm8+OaJqEsREZmzbPcg/tDdB4CPA43AHwB/E1pVBWJZaRGbmjUOISL5KduAmP6Ft08C/8vdXyHzr77JDO0t9bx8rI/xqZk/miciktuyDYjdZvYEqYB43MyqgGR4ZRWO9tZ6JqaSvNqpy3+LSH7JNiC+ANwJXOXuI0AxqW4mOYurWlIX7tP5ECKSb7INiGuAg+7eZ2a/A/wFoK/EWairLGHDyiqNQ4hI3sk2IP4eGDGzzcB/At4CvhNaVQWmvbWe3Ud6mUqoV05E8ke2ATHl7g7sAL7h7t8AqsIrq7BcfX49wxMJ9nUNRF2KiEjWsg2IQTP7c+B3gYfNLE5qHEKy0K5xCBHJQ9kGxOeAcVLnQ7wLNAP/I7SqCsyK6jJaGyo1DiEieSWrgAhC4XtAjZn9GjDm7hqDmIP2lnp2HeklmfSoSxERyUq2l9r4LeBF4DeB3wJeMLObwyys0LS31tM/OskvugejLkVEJCtFWa73X0idA9ENYGaNwE+AH4RVWKFpbz09DnFxU3XE1YiInF22YxCx6XAInJhDWwFW15WzqqZM4xAikjey3YN4zMweB74fTH8OeCSckgqTmdHeWs9zb5zA3THTpaxEJLdlO0j9Z8BO4HJgM7DT3b8SZmGFqL11OT2D4xw5MRJ1KSIiZ5XtHgTu/kPghyHWUvBOj0OcoLWhMuJqRERmN+sehJkNmtlAhtugmem04Dm6oLGS5ZUlGocQkbwwa0C4e5W7V2e4Vbn7WQ/FMbPtZnbQzA6Z2Z0Zlu8ws1fNbI+ZdZjZh9KWHTGz16aXze/Pyy3T4xA6o1pE8kFoRyIFl+O4C7gJ2AjcamYbZ6z2U2Czu28B/hC4Z8bybe6+xd3bwqpzsbW31tN5cpS3+0ajLkVEZFZhHqraDhxy98PuPgHcT+pif6e4+1BwEUCASqDgTzO+unU5ALu0FyEiOS7MgGgGjqVNdwbz3sfMPmtmB4CHSe1FTHPgCTPbbWa3hVjnotrQVEV1WREvvHki6lJERGYVZkBkOtD/A3sI7v6Au18MfAb467RF17n7VlJdVF80s+szvojZbcH4RUdPT89C1B2qeMy4qqVeA9UikvPCDIhOYE3a9Gqg60wru/szwAVm1hBMdwX33cADpLqsMrXb6e5t7t7W2Ni4ULWHqr21nsM9w/QMjkddiojIGYUZELuA9WbWamYlwC3AQ+krmNmFFpxSbGZbgRLghJlVmllVML8S+DiwN8RaF9X0+RC7jmgvQkRyV9Ynys2Vu0+Z2R3A40AcuNfd95nZ7cHyu4HfAH7PzCaBUeBz7u5mthJ4IMiOIuA+d38srFoX26bmGsqL47z4Zi+fvOy8qMsREckotIAAcPdHmHHNpiAYph9/DfhahnaHSV3SoyAVx2Ncua5O4xAiktN0RdaItLfWc+DdAfpHJqMuRUQkIwVERNpb63GHjre0FyEiuUkBEZEta2opicd02Q0RyVkKiIiUFcfZvKZG4xAikrMUEBG6unU5r73dz8CYxiFEJPcoICJ0w4ZGEknnuV8ej7oUEZEPUEBE6Io1tVSXFfHkwe6zrywissgUEBEqisf48EWNPHWwh9MXtRURyQ0KiIjdeFEj3YPjvP6OfqBPRHKLAiJiN2xIXWDwqYO5fyVaEVlaFBARW1FVxqbmap7SOISI5BgFRA7YtmEFu986qctuiEhOUUDkgBs3NJJ0+NkhdTOJSO5QQOSALWvqqK0o5skDCggRyR0KiBwQjxkfXt/I07/oIZnU4a4ikhsUEDli24ZGjg+Ns69Lh7uKSG5QQOSI6y+aPtxVRzOJSG5QQOSIhmWlbF5do8tuiEjOUEDkkBs2rGDPsT5ODk9EXYqIiAIil2wLDnd95pc6mklEoqeAyCGXr66lrqKYp3XZDRHJAQqIHBKPGTdc1MhTOtxVRHKAAiLH3LhhBb3DE7z6dn/UpYjIEqeAyDHXX9SImQ53FZHoKSByTH1lCVvW1PKkxiFEJGIKiBx040UreLWzjxND41GXIiJLmAIiB227uBHX4a4iEjEFRA7atKqGhmUl+pU5EYmUAiIHxWLG9Relru6a0OGuIhIRBUSOunHDCvpGJnmlsy/qUkRkiQo1IMxsu5kdNLNDZnZnhuU7zOxVM9tjZh1m9qFs2xa669c3EDN46oAOdxWRaIQWEGYWB+4CbgI2Area2cYZq/0U2OzuW4A/BO6ZQ9uCVltRwhVr63jqFxqHEJFohLkH0Q4ccvfD7j4B3A/sSF/B3YfcfbqTvRLwbNsuBds2NPJqZz89gzrcVUQWX5gB0QwcS5vuDOa9j5l91swOAA+T2ovIum3Q/rage6qjp6ewvm3fuGEFAE9rL0JEIhBmQFiGeR84JMfdH3D3i4HPAH89l7ZB+53u3ububY2NjfMuNhdtPK+axqpSXXZDRCIRZkB0AmvSplcDXWda2d2fAS4ws4a5ti1UseDqrs/8ooepRDLqckRkiQkzIHYB682s1cxKgFuAh9JXMLMLzcyCx1uBEuBENm2Xim0bVjAwNsWeYzrcVUQWV1FYT+zuU2Z2B/A4EAfudfd9ZnZ7sPxu4DeA3zOzSWAU+FwwaJ2xbVi15rIPrW8gHjOePNhNW0t91OWIyBJipw8iyn9tbW3e0dERdRkL7rfu/neGJ6Z4+MsfjroUESkwZrbb3dsyLdOZ1Hnghg2N7Osa4FjvSNSliMgSooDIA/9hazMl8Rh///QbUZciIkuIAiIPnFdTzs1tq/lBRyfv9I9GXY6ILBEKiDzxRzdcQNKdbz99OOpSRGSJUEDkiTX1FXz2ima+/+JRugfHoi5HRJYABUQe+eNtFzKZSHLPz96MuhQRWQIUEHmktaGSX9+8iu8+/xa9wxNRlyMiBU4BkWfu2HYho5MJ7n1WexEiEi4FRJ5Zv7KKmzY18U8/P0L/6GTU5YhIAVNA5KE7tq1ncHyK//3ckahLEZECpoDIQxtXVfPRS1Zy73NvMjimvQgRCYcCIk99+SMX0j86yXefPxp1KSJSoBQQeery1bXccFEj9/zsMCMTU1GXIyIFSAGRx770qxdyYniC+17QXoSILDwFRB5ra6nnmvOXs/OZw4xNJqIuR0QKjAIiz33pIxfSPTjOP3cci7oUESkwCog8d835y2lbV8fdT73BxJR+t1pEFo4CIs+ZGV/6yHq6+sf4l5c6oy5HRAqIAqIAXL++gc2ra/jWU28wldBehIgsDAVEATAz7vjV9RztHeFf93RFXY6IFAgFRIH46CUruOS8au568hCJpEddjogUAAVEgTAzvvyrF3L4+DBf/v7LDI3r5DkROTcKiAKyfVMTd950MY/ufYcd33yWQ92DUZckInlMAVFAzIzbb7iA737havpGJtnxzed4+NV3oi5LRPKUAqIAXXthAw9/+cNsaKrii/e9xF//6HUmdXSTiMyRAqJANdWUcf9t1/D717bwj8++yef/4QW6B8aiLktE8ogCooCVFMX4y09fyjdu2cJrb/fzqb97lhff7I26LBHJEwqIJWDHlmYe/OJ1LCst4tZ/eJ57fnYYdx0KKyKzU0AsERuaqvjXO67jo5es4L8/vJ877ntZXU4iMquiqAuQxVNdVszdv3MlO585zNceO8Cje9/h2gsa+PSWVWzf1ER1WXHUJYpIDrEwuxrMbDvwDSAO3OPufzNj+eeBrwSTQ8AfufsrwbIjwCCQAKbcve1sr9fW1uYdHR0L9wcUsMM9Qzz48ts8uKeLo70jlBTF+OglK9ixpZkbNzRSWhSPukQRWQRmtvtMn6+hBYSZxYFfAB8DOoFdwK3u/nraOtcC+939pJndBPylu18dLDsCtLn78WxfUwExd+7Oy8f6eGhPF//vlS5ODE9QXVbEJy87jx1bmrm6tZ5YzKIuU0RCMltAhNnF1A4ccvfDQRH3AzuAUwHh7j9PW/95YHWI9UgGZsbWtXVsXVvHX3zqEp49dPxUWNy/6xhN1WVc2VLH6rpyVtdVsLq2nNV15TTXlVNRsrR7KIfHpyiKm/a2pGCF+T+8GUj/mbNO4OpZ1v8C8GjatANPmJkD33b3nZkamdltwG0Aa9euPaeCl7qieIwbN6zgxg0rGJ1I8OP97/GjV7rY3zXAj/e9x8SMk+2WV5acDo66chqWlVJdXkRVWTFVZafvq4P7suL8+yDtG5ngyIkR3joxzJHjwf2JYd46McKJ4QnMoHFZaRCaFTTXpsJzdXDfXFtOZenSDlLJX2FuuZn6JTL2Z5nZNlIB8aG02de5e5eZrQB+bGYH3P2ZDzxhKjh2QqqL6dzLFoDykjif3ryKT29eBUAy6RwfGufYyVE6T47QeXI0uI2w/90Bfrz/vbP+ol1JPJYKjPJiasqLqa0I7oPpmoqS09PBssrSIpYFt3iIXV3jUwle7xrg5aN9vNrZx+HjqRDoH51833qraspYt7ySj1+6kjX1FYxPJnm7b5S3T47yyrE+Htv7DpOJ92+GtRXFXLSiiraWOq5qrefKdXU6IEDyQpgB0QmsSZteDXzgxwrM7HLgHuAmdz8xPd/du4L7bjN7gFSX1QcCQhZHLGasqC5jRXUZV66r+8DyZNIZnphicGyKgbFJBsemGAzuB0YnGRibOjWvfzR16x2e4M3jw/SNTDIwNsnZhsPKi+NBYMRZVlZEZUkqOKrLi2mqKWNVbTmrTt2XU11ehNkHQ8XdOdo7wp5jfbx8tI+Xj/Wxv2vg1B5SU3UZ61cu49ObV7FueQXrllfSsryCNfUVZ90LSiadnqFxOk+OngqOzpMj7O0aYOczh/nWU29gBhc3VdMeBMZVLfWsrC7L/h9DZJGEOUhdRGqQ+iPA26QGqX/b3felrbMW+Dfg99LHI8ysEoi5+2Dw+MfAX7n7Y7O9pgap81cy6QyOTdE/Oknf6MSpEBken2JoPMHQ2BTDE1MMjU+lHo8Hj8dTbd4bGPvAN/fKkjirass5r7ac5toyaitKOPjuIHuO9dE7PAGkQuey1TVcsbaWK9bUsmVNHU014XxYj0xMsedoHy8e6aXjyEleOnqSkYkEAGvrK7iqpZ7LV9ewtj4VRqvryhelW25sMkHP4DgTiSRTCWcykSSRdKaSqempZPo8p6a8mIZlpTRWlVJdljmEz8TdOTkyybv9Y7w3MMa7A2OMTiSIWepLiJmlHgf3qenU49KiOPWVJadudRXFFMUL81SuZNJPfdEan0oyPpVI3U+mPZ5KMj6ZYCKRpChmfO6q+XWxRzJI7e5TZnYH8Dipw1zvdfd9ZnZ7sPxu4KvAcuBbwUY2fTjrSuCBYF4RcN/ZwkHyWyxmqW6limLWUjHn9tNdYG/3jfJO/xhdfalv8O/0jdHVP8rrXf30Dk9wQeMyPnLxCrasreWKNXVctHLZon3IVJQUce2FDVx7YQMAk4kkr3cNsOtIL7uO9PLUwW5+OON3xVdUlbKmvoI1deWsra9gdX0Fa+oqWFldSjyW+vAEsOBD9dQ9qQ/XRNLpHhzjvYFx3h0Yo3tgLPXhPDjOe/1jvDc4Rt/I5MxSs1ZSFKNxWSkNVaU0BqHRuKyEhqpSxiYTp173vf6x4PXHPzCWdS5qyotZXllC3XRwVJRQU1FMcdyIx2IUx4yieCyYDh4H9/EYJJOQdA9ukEg67k4imZpOuuMOFaVxqsuKqS4/Pa5WHXSXlhbFMoZkMumMTiYYmUgwFtyPTEwxOpGgb3SSE8MT9A5NcGJ4/NTj3uEJTgxPcHJkYk4//NWwrGTeATGbUM+DWGzag5DZJJOe04fsujvdg+Mc6x3h2MkRjvWOcrR3hGO9qTGfd/pHOdcfC4wZNFaV0hR0FzZVl7GyOvXBXlYcpygWoyhuFKV9mMbTPmRjZgyMTtIzNE7PYHBLe3x8KPVhN/2xUl4cp6km9RpN1WWsrCljZVVZMC91v6yk6H0f0u6nP5ynP6CTnvqw7R2aoHck9UE6fTsxPMHJtOn+0Ummkr5ov6w4PbZWVVbEZGI6FKYYm8wuCKdDbnrPaPmy6celpw7uKC2KBbc4pcUxSuIxyoqD6WB+TcX8xrWiOsxVJKfkcjhA6hv/yurUB2dbS/0Hlk9MJenqG+XYyRGOD42TTKaO+ki6w/S3XTj1geoEgbCs9NQHcsOy0lAH+wGmEkl6RyYoLYrPuQtqIbmnusSmEs5kMkkiuJ9K+KnuslPdWTEjPt29FeyZxc2IBTuXIxOJYCwtNZ52elxtkoHR0+NtRTGjvCRORUmc8pIiKqYfF8epCKbLS+KpUFhWQl1FCcU53E2mgBDJEyVFMVoaKmlpqIy6lFkVxWOsqIp+0N3MKI4bxXEo59zGcqrKipfkgQS5G10iIhIpBYSIiGSkgBARkYwUECIikpECQkREMlJAiIhIRgoIERHJSAEhIiIZFdSlNsysB3hrns0bgKx/vW4Rqa65UV1zo7rmphDrWufujZkWFFRAnAsz68jmd68Xm+qaG9U1N6prbpZaXepiEhGRjBQQIiKSkQLitIy/eZ0DVNfcqK65UV1zs6Tq0hiEiIhkpD0IERHJSAEhIiIZFXxAmNl2MztoZofM7M4My83M/jZY/qqZbc22bch1fT6o51Uz+7mZbU5bdsTMXjOzPWa2oL+xmkVdN5pZf/Dae8zsq9m2DbmuP0uraa+ZJcysPlgW5vt1r5l1m9neMyyPavs6W11RbV9nqyuq7etsdUW1fa0xsyfNbL+Z7TOzP8mwTnjbmLsX7A2IA28A5wMlwCvAxhnrfBJ4FDDgV4AXsm0bcl3XAnXB45um6wqmjwANEb1fNwI/mk/bMOuasf6vA/8W9vsVPPf1wFZg7xmWL/r2lWVdi759ZVnXom9f2dQV4fZ1HrA1eFwF/GIxP8MKfQ+iHTjk7ofdfQK4H9gxY50dwHc85Xmg1szOy7JtaHW5+8/d/WQw+TyweoFe+5zqCqntQj/3rcD3F+i1Z+XuzwC9s6wSxfZ11roi2r6yeb/OJNL3a4bF3L7ecfeXgseDwH6gecZqoW1jhR4QzcCxtOlOPvjmnmmdbNqGWVe6L5D6hjDNgSfMbLeZ3bZANc2lrmvM7BUze9TMLp1j2zDrwswqgO3AD9Nmh/V+ZSOK7WuuFmv7ytZib19Zi3L7MrMW4ArghRmLQtvGiuZaZJ6xDPNmHtd7pnWyaTtfWT+3mW0j9R/4Q2mzr3P3LjNbAfzYzA4E34AWo66XSF27ZcjMPgk8CKzPsm2YdU37deA5d0//NhjW+5WNKLavrC3y9pWNKLavuYhk+zKzZaRC6U/dfWDm4gxNFmQbK/Q9iE5gTdr0aqAry3WyaRtmXZjZ5cA9wA53PzE93927gvtu4AFSu5KLUpe7D7j7UPD4EaDYzBqyaRtmXWluYcbuf4jvVzai2L6yEsH2dVYRbV9zsejbl5kVkwqH77n7v2RYJbxtLIyBlVy5kdpDOgy0cnqQ5tIZ63yK9w/wvJht25DrWgscAq6dMb8SqEp7/HNg+yLW1cTpEyzbgaPBexfp+xWsV0OqH7lyMd6vtNdo4cyDrou+fWVZ16JvX1nWtejbVzZ1RbV9BX/7d4Cvz7JOaNtYQXcxufuUmd0BPE5qRP9ed99nZrcHy+8GHiF1FMAhYAT4g9naLmJdXwWWA98yM4ApT12tcSXwQDCvCLjP3R9bxLpuBv7IzKaAUeAWT22NUb9fAJ8FnnD34bTmob1fAGb2fVJH3jSYWSfw34DitLoWffvKsq5F376yrGvRt68s64IIti/gOuB3gdfMbE8w7z+TCsnLRpwAAAHkSURBVPjQtzFdakNERDIq9DEIERGZJwWEiIhkpIAQEZGMFBAiIpKRAkJERDJSQIjkgOAqpj+Kug6RdAoIERHJSAEhMgdm9jtm9mJw7f9vm1nczIbM7H+a2Utm9lMzawzW3WJmzwfX6H/AzOqC+Rea2U+CC9K9ZGYXBE+/zMx+YGYHzOx7Fpx9JRIVBYRIlszsEuBzpC7OtgVIAJ8ndYmFl9x9K/A0qbNwIXWJhK+4++XAa2nzvwfc5e6bSf0uwzvB/CuAPwU2krqG/3Wh/1EisyjoS22ILLCPAFcCu4Iv9+VAN5AE/k+wzneBfzGzGqDW3Z8O5v8T8H/NrApodvcHANx9DCB4vhfdvTOY3kPq2kDPhv9niWSmgBDJngH/5O5//r6ZZv91xnqzXb9mtm6j8bTHCfT/UyKmLiaR7P0UuDm47j9mVm9m60j9P7o5WOe3gWfdvR84aWYfDub/LvC0p67l32lmnwmeozT4ERqRnKNvKCJZcvfXzewvSP16WAyYBL4IDAOXmtluoJ/UOAXAfwTuDgLgMMFVNkmFxbfN7K+C5/jNRfwzRLKmq7mKnCMzG3L3ZVHXIbLQ1MUkIiIZaQ9CREQy0h6EiIhkpIAQEZGMFBAiIpKRAkJERDJSQIiISEb/H6H5m0fZuDZNAAAAAElFTkSuQmCC\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "d2l.train_ch7(sgd_momentum,init_momentum_states(),{\"lr\":0.004,\"momentum\":0.9},features,labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "loss: 0.243989, 0.036345 sec per epoch \n"
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 392.14375 262.19625\" width=\"392.14375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.19625 \nL 392.14375 262.19625 \nL 392.14375 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 50.14375 224.64 \nL 384.94375 224.64 \nL 384.94375 7.2 \nL 50.14375 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mfe2ea74fdd\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"65.361932\" xlink:href=\"#mfe2ea74fdd\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0.00 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g transform=\"translate(54.229119 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"103.407386\" xlink:href=\"#mfe2ea74fdd\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 0.25 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g transform=\"translate(92.274574 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"141.452841\" xlink:href=\"#mfe2ea74fdd\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 0.50 -->\n      <g transform=\"translate(130.320028 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"179.498295\" xlink:href=\"#mfe2ea74fdd\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 0.75 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g transform=\"translate(168.365483 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"217.54375\" xlink:href=\"#mfe2ea74fdd\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1.00 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(206.410938 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"255.589205\" xlink:href=\"#mfe2ea74fdd\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1.25 -->\n      <g transform=\"translate(244.456392 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"293.634659\" xlink:href=\"#mfe2ea74fdd\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 1.50 -->\n      <g transform=\"translate(282.501847 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"331.680114\" xlink:href=\"#mfe2ea74fdd\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 1.75 -->\n      <g transform=\"translate(320.547301 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"369.725568\" xlink:href=\"#mfe2ea74fdd\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 2.00 -->\n      <g transform=\"translate(358.592756 239.238437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_10\">\n     <!-- epoch -->\n     <defs>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n     </defs>\n     <g transform=\"translate(202.315625 252.916562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"61.523438\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"125\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"186.181641\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"241.162109\" xlink:href=\"#DejaVuSans-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m39c2184ccf\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m39c2184ccf\" y=\"210.78776\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.25 -->\n      <g transform=\"translate(20.878125 214.586979)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m39c2184ccf\" y=\"181.632962\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.30 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g transform=\"translate(20.878125 185.432181)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m39c2184ccf\" y=\"152.478164\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.35 -->\n      <g transform=\"translate(20.878125 156.277383)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m39c2184ccf\" y=\"123.323366\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 0.40 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(20.878125 127.122585)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m39c2184ccf\" y=\"94.168569\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0.45 -->\n      <g transform=\"translate(20.878125 97.967787)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m39c2184ccf\" y=\"65.013771\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 0.50 -->\n      <g transform=\"translate(20.878125 68.81299)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m39c2184ccf\" y=\"35.858973\"/>\n      </g>\n     </g>\n     <g id=\"text_17\">\n      <!-- 0.55 -->\n      <g transform=\"translate(20.878125 39.658192)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_18\">\n     <!-- loss -->\n     <defs>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n     </defs>\n     <g transform=\"translate(14.798438 125.577812)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"27.783203\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"88.964844\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"141.064453\" xlink:href=\"#DejaVuSans-115\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_17\">\n    <path clip-path=\"url(#pc5a1aba0a5)\" d=\"M 65.361932 17.083636 \nL 75.507386 88.612657 \nL 85.652841 153.024798 \nL 95.798295 179.602694 \nL 105.94375 190.754134 \nL 116.089205 200.986004 \nL 126.234659 209.919835 \nL 136.380114 213.898526 \nL 146.525568 214.25376 \nL 156.671023 214.395743 \nL 166.816477 214.756364 \nL 176.961932 212.503486 \nL 187.107386 213.073064 \nL 197.252841 211.687668 \nL 207.398295 203.07846 \nL 217.54375 207.637129 \nL 227.689205 214.34686 \nL 237.834659 213.897788 \nL 247.980114 213.139559 \nL 258.125568 213.50448 \nL 268.271023 214.071286 \nL 278.416477 214.159243 \nL 288.561932 214.393371 \nL 298.707386 214.596142 \nL 308.852841 213.956385 \nL 318.998295 213.538063 \nL 329.14375 213.564251 \nL 339.289205 214.089194 \nL 349.434659 214.552889 \nL 359.580114 213.924332 \nL 369.725568 214.292842 \n\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 50.14375 224.64 \nL 50.14375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 384.94375 224.64 \nL 384.94375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 50.14375 224.64 \nL 384.94375 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 50.14375 7.2 \nL 384.94375 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pc5a1aba0a5\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"50.14375\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEGCAYAAAB/+QKOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nO3de3hc9X3n8fd3ZnQdyTdJNiDbkpFdiEkwGGGSAN2kSQmkSR0aQ+xcKaQsaUibPts0NE1ptn2ebdN0d9NsyDpOQgMlhHCJKS0EkyYtJCEEy8YGO2DWNr7IxliWr7prZr77xxzJgxhZI3uORpr5vJ7Hj+ZcfjPfGR3PR+ec3/kdc3dERERGihS6ABERmZwUECIikpUCQkREslJAiIhIVgoIERHJKlboAvKpvr7em5ubC12GiMiUsWHDhkPu3pBtWVEFRHNzM21tbYUuQ0RkyjCz3aMt0yEmERHJSgEhIiJZKSBERCQrBYSIiGSlgBARkawUECIikpUCQkREsir5gEimnDv+YztPvdxR6FJERCaVkg+IaMRY89ROnvj1gUKXIiIyqZR8QAA011Wzu7On0GWIiEwqCgigqS7Ors7uQpchIjKpKCCA5vo4+470MpBIFboUEZFJQwFB+hBTymHvER1mEhEZooAgfYgJYLcOM4mIDFNAAAvq0wHxyiHtQYiIDFFAADOry6itjGkPQkQkgwICMDOa6+LsUldXEZFhCohAc32cXYe0ByEiMkQBEWiuq6b9SI+6uoqIBBQQgaa6OCmHfUd7C12KiMikoIAINNdVA+gwk4hIQAERaA66umrIDRGRNAVEoC5eTk1FTIP2iYgEFBABM6Oprlp7ECIigVADwsyuNrNtZrbdzG7LsvwdZnbMzDYF/27PWLbLzF4I5reFWecQdXUVETkpFtYTm1kUuAP4baAdWG9mj7j7r0es+jN3f98oT/NOdz8UVo0jNddVs27LAQaTKcqi2rkSkdIW5rfgMmC7u+909wHgPmB5iK93xprq4iRSzn51dRURCTUgGoG9GdPtwbyR3mZmm83sR2Z2QcZ8B54wsw1mdvNoL2JmN5tZm5m1dXSc2X2lTw7ap8NMIiKhHWICLMs8HzG9EWhy9y4zey/wMLAoWHa5u+83s9nAj83sJXd/6g1P6L4GWAPQ2to68vnHpSm4FkI9mUREwt2DaAfmZUzPBfZnruDux929K3j8GFBmZvXB9P7g50FgLelDVqFqqKkgXh5VTyYREcINiPXAIjNbYGblwErgkcwVzOwsM7Pg8bKgnk4zi5tZbTA/DlwFbAmx1qF60ven1iEmEZHwDjG5e8LMbgXWAVHgTnffama3BMtXAyuAT5lZAugFVrq7m9kcYG2QHTHgXnd/PKxaMzXXV/PSqycm4qVERCa1MM9BDB02emzEvNUZj78OfD1Lu53AkjBrG01TXZwf//o1EskUMXV1FZESpm/AEZrrqhlMOvuP9hW6FBGRglJAjNBcp0H7RERAAfEGQ6O66v7UIlLqFBAjzK6toKosqvtTi0jJU0CMMDyqq7q6ikiJU0Bk0VwX1zkIESl5Cogsmuqr2Xu4l2TqjEbuEBGZ0hQQWSyoizOQTGlUVxEpaQqILJrqhnoy6US1iJQuBUQWzfXpUV11HkJESpkCIos5tZVUxCLqySQiJU0BkUUkYkFPJh1iEpHSpYAYRVNdta6mFpGSpoAYRXN9nN2He0ipq6uIlCgFxCia6+IMJFK8elyjuopIaVJAjKJ56P7UOlEtIiVKATGKpmBU11d0HkJESpQCYhRnT6ukPBbRxXIiUrIUEKOIRIymWRrVVURKlwLiFJrq4tqDEJGSFWpAmNnVZrbNzLab2W1Zlr/DzI6Z2abg3+25tp0IC+qr2dXZra6uIlKSYmE9sZlFgTuA3wbagfVm9oi7/3rEqj9z9/edZttQNdXF6U+keO1EH2dPr5rIlxYRKbgw9yCWAdvdfae7DwD3AcsnoG3eNAejuu46pMNMIlJ6wgyIRmBvxnR7MG+kt5nZZjP7kZldMM62mNnNZtZmZm0dHR35qHtYU51GdRWR0hVmQFiWeSMP5m8Emtx9CfB/gIfH0TY9032Nu7e6e2tDQ8NpF5vNOTOqKI9GFBAiUpLCDIh2YF7G9Fxgf+YK7n7c3buCx48BZWZWn0vbiRCNGPNmVbFbh5hEpASFGRDrgUVmtsDMyoGVwCOZK5jZWWZmweNlQT2dubSdKOlhv7UHISKlJ7ReTO6eMLNbgXVAFLjT3bea2S3B8tXACuBTZpYAeoGV7u5A1rZh1XoqzfVxfrHjEO5OkGUiIiUhtICA4cNGj42Ytzrj8deBr+fathCa66rpG0xx8EQ/c6ZVFrocEZEJoyupx9AUdHV9RUNuiEiJUUCMYUEwqqvuLicipUYBMYazp1dSFjXdn1pESo4CYgyxaIR5M3V/ahEpPQqIHDTVVfOKroUQkRKjgMhBc32c3Z3dpHvgioiUBgVEDprr4vQMJOno6i90KSIiE0YBkYPhQft0mElESogCIgdDXV015IaIlBIFRA4aZ1QRi5h6MolISVFA5CAWjTB3ZpUOMYlISVFA5Ki5XqO6ikhpUUDkqLkuzu7OHnV1FZGSoYDIUVNdNV39CQ51DRS6FBGRCaGAyFGzBu0TkRKjgMhRc91QV1edqBaR0qCAyFHjjCqiEWOX7gshIiVCAZGj8liExhlVvKJDTCJSIhQQ43BuQ5ydHQoIESkNCohxWNhQw86OLlIpdXUVkeIXakCY2dVmts3MtpvZbadY71IzS5rZiox5u8zsBTPbZGZtYdaZq5bZNfQnUuw72lvoUkREQhdaQJhZFLgDuAZYDKwys8WjrPdlYF2Wp3mnu1/k7q1h1TkeLQ01AOzo6CpwJSIi4QtzD2IZsN3dd7r7AHAfsDzLep8BHgIOhlhLXiycnQ6I7QcVECJS/MIMiEZgb8Z0ezBvmJk1AtcCq7O0d+AJM9tgZjeP9iJmdrOZtZlZW0dHRx7KHt2seDkzq8vYoRPVIlICwgwIyzJv5NndrwKfd/dklnUvd/elpA9RfdrMfjPbi7j7GndvdffWhoaGM6s4By0NNTrEJCIlIcyAaAfmZUzPBfaPWKcVuM/MdgErgG+Y2QcA3H1/8PMgsJb0IauCWzi7hh06xCQiJSDMgFgPLDKzBWZWDqwEHslcwd0XuHuzuzcDDwJ/6O4Pm1nczGoBzCwOXAVsCbHWnLU01NDZPcCRbg3aJyLFLRbWE7t7wsxuJd07KQrc6e5bzeyWYHm28w5D5gBrzWyoxnvd/fGwah2PltnpMZl2HurikvisAlcjIhKe0AICwN0fAx4bMS9rMLj7DRmPdwJLwqztdC1sqAXSPZkuaVJAiEjx0pXU49Q4s4ryWEQ9mUSk6CkgxikaMc6tj+tEtYgUPQXEaWiZXcN2dXUVkSKngDgNLQ017D3cQ99gtss3RESKgwLiNLQ0xEk57Nbd5USkiCkgToPGZBKRUqCAOA3n1mtUVxEpfgqI01BVHqVxRpUCQkSKmgLiNC2cXaNDTCJS1BQQp6mloYadHd26/aiIFK2cAsLM/tjMplnad8xso5ldFXZxk1nL7Di9g0lePd5X6FJEREKR6x7Eje5+nPSoqg3A7wN/F1pVU8DQ7Ud1mElEilWuATF085/3Av/k7pvJfkOgkjHU1VVDbohIsco1IDaY2ROkA2JdcK+GVHhlTX518XKmV5WpJ5OIFK1ch/u+CbgI2OnuPWY2i/RhppJlZrQ0xHWISUSKVq57EG8Dtrn7UTP7KPBF4Fh4ZU0NC2fXaNhvESlauQbE/wV6zGwJ8GfAbuDu0KqaIloaajjU1c+xnsFClyIikne5BkTC3R1YDvyju/8jUBteWVPDcE8mnYcQkSKUa0CcMLM/Bz4GPGpmUaAsvLKmhuGeTAoIESlCuQbEh4B+0tdDHAAaga+EVtUUMXdmFeXRiAJCRIpSTgERhML3gOlm9j6gz93HPAdhZleb2TYz225mt51ivUvNLGlmK8bbtpBi0QjN9dW6FkJEilKuQ21cDzwLXAdcD/wq88t8lDZR4A7gGmAxsMrMFo+y3peBdeNtOxmoJ5OIFKtcDzH9BXCpu3/C3T8OLAP+cow2y4Dt7r7T3QeA+0if5B7pM8BDwMHTaFtwLQ017DncQ39Ctx8VkeKSa0BE3D3zC7wzh7aNwN6M6fZg3jAzawSuBVaPt23Gc9xsZm1m1tbR0TFGSfnX0lBDMuXs0e1HRaTI5BoQj5vZOjO7wcxuAB4FHhujTbaxmkaOjf1V4PPuPvLP71zapme6r3H3VndvbWhoGKOk/NPtR0WkWOU01Ia7f87MPghcTvrLe427rx2jWTswL2N6LrB/xDqtwH1mBlAPvNfMEjm2nRQW1McBdXUVkeKT61hMuPtDpM8V5Go9sMjMFgD7gJXAh0c854Khx2b2XeDf3P1hM4uN1XayiFfEOGd6pU5Ui0jROWVAmNkJsh/aMcDdfdpobd09YWa3ku6dFAXudPetZnZLsHzkeYcx2475bgqkRbcfFZEidMqAcPczGk7D3R9jxLmK0YLB3W8Yq+1k1dJQw/1te3F3gsNlIiJTnu5JnQcts2voGUhyQLcfFZEiooDIg4W6/aiIFCEFRB60zA56MikgRKSIKCDyoKGmgtrKmHoyiUhRUUDkgZmxUD2ZRKTIKCDypKWhRhfLiUhRUUDkSUtDDQdP9HO8T7cfFZHioIDIk+G7y+kwk4gUCQVEnrQ0DI3JpBPVIlIcFBB5Mn9WNWVR03kIESkaCog8iUUjNNfF1ZNJRIqGAiKP1JNJRIqJAiKPWmbH2dPZw2AyVehSRETOmAIijxbOriGRcnZ36kS1iEx9Cog8ahketE8BISJTnwIij84NAkLnIUSkGCgg8qimIsbZ0yt1sZyIFAUFRJ6pJ5OIFAsFRJ61NMTZ0dGNe7ZbeYuITB0KiDxbOLuGrv4Erx3vL3QpIiJnJNSAMLOrzWybmW03s9uyLF9uZs+b2SYzazOzKzKW7TKzF4aWhVlnPrXoRLWIFInQAsLMosAdwDXAYmCVmS0esdpPgCXufhFwI/DtEcvf6e4XuXtrWHXmW8tsBYSIFIcw9yCWAdvdfae7DwD3AcszV3D3Lj95sD4OTPkD97NrK6itiKknk4hMeWEGRCOwN2O6PZj3OmZ2rZm9BDxKei9iiANPmNkGM7s5xDrzysw4d3YN27UHISJTXJgBYVnmvWEPwd3Xuvv5wAeAv8lYdLm7LyV9iOrTZvabWV/E7Obg/EVbR0dHPuo+Y29pnMbG3Ufp6k8UuhQRkdMWZkC0A/MypucC+0db2d2fAlrMrD6Y3h/8PAisJX3IKlu7Ne7e6u6tDQ0N+ar9jPze0rn0DiZ59PlR366IyKQXZkCsBxaZ2QIzKwdWAo9krmBmC83MgsdLgXKg08ziZlYbzI8DVwFbQqw1ry6eN4OWhjj3t7UXuhQRkdMWWkC4ewK4FVgHvAjc7+5bzewWM7slWO2DwBYz20S6x9OHgpPWc4Cfm9lm4FngUXd/PKxa883MuL51Hht2H1FvJhGZsqyYrvhtbW31trbJccnEwRN9vO1vf8ofXHkut11zfqHLERHJysw2jHYpga6kDsns2kreeV4DD21sJ6EbCInIFKSACNF1rfPoONHPky9Pjt5VIiLjoYAI0W+dP5v6mnIe0MlqEZmCFBAhKotGuPbiRv79xdfo7NLgfSIytSggQnZd6zwSKWftc/sKXYqIyLgoIEL2G3NqWTJvBg9uaNc9IkRkSlFATIDrW+fy0oETvLDvWKFLERHJmQJiArx/yTlUxCLc37Z37JVFRCYJBcQEmFZZxjVvPot/2bSfvsFkocsREcmJAmKCXN86jxN9CdZtPVDoUkREcqKAmCBvPbeOuTOrdE2EiEwZCogJEokYKy6Zyy92HGLv4Z5ClyMiMiYFxARacclcAB7aqL0IEZn8FBATaO7Mai5vqefBDe2kUromQkQmNwXEBLuudS7tR3p5ZmdnoUsRETklBcQEe88FZ1FbGdM1ESIy6SkgJlhlWZTlF53Dj7Yc4HjfYKHLEREZlQKiAK5vnUd/IsW/bt5f6FJEREalgCiAtzRO57w5tdyvayJEZBJTQBSAmXFd61w27z3Ky6+dKHQ5IiJZKSAK5NqLG4lFjAd0slpEJqlQA8LMrjazbWa23cxuy7J8uZk9b2abzKzNzK7Ite1UV1dTwbveNJsHNrSz72hvocsREXmD0ALCzKLAHcA1wGJglZktHrHaT4Al7n4RcCPw7XG0nfL+21XnkUw5H//OrzjcPVDockREXifMPYhlwHZ33+nuA8B9wPLMFdy9y0/eZi0OeK5ti8FvzKnlO5+4lL1Hernxu+vpGUgUuiQRkWFhBkQjkHmAvT2Y9zpmdq2ZvQQ8SnovIue2Qfubg8NTbR0dHXkpfCItWzCLr6+6mOfbj/KpezYymEwVuiQRESDcgLAs894wAJG7r3X384EPAH8znrZB+zXu3ururQ0NDaddbCFddcFZ/I9r38KTL3fwZw8+r3GaRGRSiIX43O3AvIzpucCoV4a5+1Nm1mJm9eNtWwxWLptPZ/cAX1m3jbp4OX/xO2/CLFtOiohMjDADYj2wyMwWAPuAlcCHM1cws4XADnd3M1sKlAOdwNGx2hajP3xHCx0n+vn2z1+hvraCW/5LS6FLEpESFlpAuHvCzG4F1gFR4E5332pmtwTLVwMfBD5uZoNAL/Ch4KR11rZh1TpZmBm3v28xh7sH+LsfvURdvJzrWueN3VBEJAR2shPR1Nfa2uptbW2FLuOMDSRS3HTXep7e0ck3P3oJ7148p9AliUiRMrMN7t6abZmupJ6EymMRVn/0Et58zjQ+fe9G2nYdLnRJIlKCFBCTVLwixp03XErjjCpu/O56th3QmE0iMrEUEJNYXU0Fd9+0jKryKB+/81fs7uwudEkiUkIUEJPc3JnV3H3jZQwkUqxa8wx7OnsKXZKIlAgFxBRw3lm13PPJy+gZTLLqW8+w97BCQkTCp4CYIi44Zzr33HQZXf0JVq55hvYjCgkRCZcCYgp5c+N0vvfJyzjRN8jKNc9omHARCZUCYop5c+N07vnkZRzrHWTlml+yXyEhIiFRQExBF86dwT03XcbR7kFWfesZXj2mkBCR/FNATFFL5s3g7puWcbhrgFVrnuHAsb5ClyQiRUYBMYVdPH8md920jENdA6z61jO8dlwhISL5o4CY4pbOn8ldN17KweN9rFrzDAcVEiKSJwqIInBJ0yzuunEZB473sfJbOtwkIvmhgCgSrc3pkDh4vJ9rv/ELjd0kImdMAVFELm2exQ/+61tJppwVq5/m6R2HCl1S0XJ31j7Xzn9uO0gxDZkvkkkBUWQuOGc6az99OWdPr+QTdz7Lw8/tK3RJRWcgkeJzDz7Pn/xgMzf803qu+t9P8YP1e+gbTBa6NJG8UkAUocYZVTxwy9u5pGkmn/3BJr7xn9v1V26eHOke4GPf+RUPbmjnj961iP91/RJi0Qiff+gFrvjyT/naT/4fh7sHCl2mSF7ojnJFrD+R5HMPPM8jm/fz0bfO50vvv4BYVH8TnK6dHV3cdFcb+4708pXrLmT5RY1A+nDT0zs6+dbPdvKf2zqoLIvwwaVzuemKBZzbUFPgqkVO7VR3lAvtntRSeBWxKF/90EWcM6OK1U/u4MCxPr626mKqy/VrH69f7ujklns2EI0Y9/7BZbQ2zxpeZmZcvrCeyxfW8/JrJ/jOz17hgbZ27n12D+86fw5/cOUCli2YhZkV8B2IjJ/2IErEP/9yF3/1yFbe0jid79xwKfU1FYUuacq4v20vX/jhCzTXx7nzE5cyv656zDYdJ/r551/u4p+f2c2RnkHeeu4svvzBC2mqi4dfsMg4nGoPItSAMLOrgX8EosC33f3vRiz/CPD5YLIL+JS7bw6W7QJOAEkgMdobyKSAOLUnth7gj+57jtm1lXz39y/V4Y8xpFLO36/bxuond3Dlonq+/uGlTK8qG9dz9A4kub9tL//wxDYGkyn+7D3nc8Pbm4lEtDchk0NBAsLMosDLwG8D7cB6YJW7/zpjnbcDL7r7ETO7BviSu18WLNsFtLp7zn01FRBje27PEW66qw1350/fcx6/u+QcaivH96VXCnoHkvzJDzbx+NYDfOSy+Xzpdy+g7AzO3xw41scX1r7AT186SGvTTP5+xYUKaJkUChUQbyP9hf+eYPrPAdz9b0dZfyawxd0bg+ldKCBCsetQN7d+fyNb9h2nqizK+y48m5XL5rF0/kwdJwcOHu/jk3e38cK+Y3zxdxZz4+XNeflc3J0fbtzHf//XrfQnUvzpVedx4xULiGpvQgqoUAGxArja3T8ZTH8MuMzdbx1l/T8Fzs9Y/xXgCODAN919zSjtbgZuBpg/f/4lu3fvzvt7KUbuzub2Y9z37B4e2byfnoEki2bX8KFL5/F7S+cyK15e6BJz4u4c701QWR6hIhYdV9ujPQPs7uxh9+Ee9nR2Dz9+6dXjJFLO11ZezLsXz8l7zQeP9/GFtVv49xdf4+L5M/jKigtZOLs2768jkotCBcR1wHtGBMQyd/9MlnXfCXwDuMLdO4N557j7fjObDfwY+Iy7P3Wq19QexOnp6k/w6PP7+f6ze9m09yjl0QhXXTCHlZfO5+0tdZPqeHnvQJLN7UfZuOcIz+05ynN7jnCoK33dQXk0Qk1ljNrKGDUVQz/LqA3mVcQi7D/Wx57OHnZ3dnO8L/G6526oraBpVjXN9XFuumIBbzp7Wmjvw915ZPN+/uqRrfQMJPnsuxdx85XnnnY35MFkiqM9gxztGeBIzyBHegY40j1AV3+CiliEirIolWVRKmMRKsuiVJVHqYxFqSxLT1eWRampiFFZFimJvchEMkVfIjU8bcDQ2zbSD4anLb1tFevnMqkPMZnZhcBa4Bp3f3mU5/oS0OXu/3Cq11RAnLmXDhznvmf3sva5fRzrHWTerCrefM704Esk/Vf60OPML5zKsihl0QjRiBGNGLGIERn6aUYsmp4fNaMsGnndF1NlWYTKWPQNQeTu7D3cy8Y9R4b/vfjqCZKp9Da7oD7OxfNn8KazpjGQTHGiL0FX/2D6Z1+CE/2J4XldfQl6BpKcNb2S+bOqaaqrpmlWnPl16cfzZ1UXpPtvx4l+/vLhLTy+9QAXzp3OZ35rEe5O72CS7v4kPQMJegeSdA8k6R1Iv4eegSRd/QmO9gxwuGeAo92DnOhPjP1iOYhFjJrhgC2jtiL2utCtqYxRFokQMYgEv9uIpbv6RiPpx+l56d95WTQS/DPKhx7HTk7HgmVl0QixSPAzasQi6fmxjPnJlHO8b5DjvYMc70sEPwc53psYnn+sd5Cu/vTn1DeYHP680o/Tn2XvYJLB5Pi+96IRI14epbayjHhFlHhF8HlUxF73uLoiSrw8RlV5+md1RZTqsvT61eVRqoN5g4kUx/sSnBhR/9D7OdGXfo+JlFOV+X8lFqFyONyjVJWn/+/UVMa4clHDaf3OCxUQMdInqd8F7CN9kvrD7r41Y535wE+Bj7v70xnz40DE3U8Ej38M/LW7P36q11RA5E/fYJJ1Ww/w0MZ9vHq0l75Ekr7BFH2DSfoHUwwkU2M/yTiVjwiO7v4EncFVyfHyKEvmzWDp/JlcPH8GF8+fOWUOg43F3Xn0hVe5/V+2jnoVdnk0EnzppP/6r6mIMaO6nJnVZcHPcmbGy4bnzawuZ0Z1GbUVZQwkg99b8DvsHUx/YQ79PvsG01+aXf3pYB36eXwoXIeCNgjdZMqHQ3oyiUWMaVVl6S/q4HOqLo9SVRalqjxGdbDnVBXMqyyLYBiOM/Q1OPSu3MGDKXfoGRj6bJJ09wefUX/iDY/z8bFEDGory5hWFSNqlv49JU7+zrKpr6mg7YvvPq3XK8iFcu6eMLNbgXWku7ne6e5bzeyWYPlq4HagDvhGsPs21J11DrA2mBcD7h0rHCS/KsuiLL+ocfhq4ZGSKR/+whn6khlM+vCXR9KdZCpFMgWJVOrk/JQzmEy9rl1fIvW6L6yh5y2LGhfOTYfCeWfVFu3JXDPjfReew5ULG9j22onXfblVl6e/7M6kB1VY3J2Up7eFlKe/ZFOe/t2nhn/X6d/3QDLFYDLFYMJPPk6mGEikGEw6iVSKRLBuIuUkkifnDz1HxIzpVekvzmmVZcHjMqYFX6ZVZdGCHgZyd/oTKbr7T+7pdQ/tAWbM6xlIUBaNMK0qRm1F8B6C9zStqox4+ejvY+g1hv6/DIV9WIGtC+VERErYqfYgJt+fJSIiMikoIEREJCsFhIiIZKWAEBGRrBQQIiKSlQJCRESyUkCIiEhWCggREcmqqC6UM7MO4HSHc60Hch5afAKprvFRXeOjusanGOtqcvesAzkVVUCcCTNry+WudRNNdY2P6hof1TU+pVaXDjGJiEhWCggREclKAXFS1jvWTQKqa3xU1/iorvEpqbp0DkJERLLSHoSIiGSlgBARkayKPiDM7Goz22Zm283stizLzcy+Fix/3syW5to25Lo+EtTzvJk9bWZLMpbtMrMXzGyTmeX1Dkk51PUOMzsWvPYmM7s917Yh1/W5jJq2mFnSzGYFy8L8vO40s4NmtmWU5YXavsaqq1Db11h1FWr7GquuQm1f88zsP8zsRTPbamZ/nGWd8LYxdy/af6RvdboDOBcoBzYDi0es817gR4ABbwV+lWvbkOt6OzAzeHzNUF3B9C6gvkCf1zuAfzudtmHWNWL99wM/DfvzCp77N4GlwJZRlk/49pVjXRO+feVY14RvX7nUVcDt62xgafC4Fnh5Ir/Din0PYhmw3d13uvsAcB+wfMQ6y4G7Pe0ZYIaZnZ1j29Dqcven3f1IMPkMMDdPr31GdYXUNt/PvQr4fp5e+5Tc/Sng8ClWKcT2NWZdBdq+cvm8RlPQz2uEidy+XnX3jcHjE8CLwMgbxYe2jRV7QDQCezOm23njhzvaOrm0DbOuTDeR/gthiANPmNkGM7s5TzWNp663mdlmM/uRmV0wzrZh1oWZVQNXAw9lzA7r88pFIbav8Zqo7StXE7195ayQ25eZNQMXA78asSi0bZBgcjkAAAO3SURBVCw23iKnGMsyb2S/3tHWyaXt6cr5uc3snaT/A1+RMftyd99vZrOBH5vZS8FfQBNR10bSY7d0mdl7gYeBRTm2DbOuIe8HfuHumX8NhvV55aIQ21fOJnj7ykUhtq/xKMj2ZWY1pEPps+5+fOTiLE3yso0V+x5EOzAvY3ousD/HdXJpG2ZdmNmFwLeB5e7eOTTf3fcHPw8Ca0nvSk5IXe5+3N27gsePAWVmVp9L2zDryrCSEbv/IX5euSjE9pWTAmxfYyrQ9jUeE759mVkZ6XD4nrv/MMsq4W1jYZxYmSz/SO8h7QQWcPIkzQUj1vkdXn+C59lc24Zc13xgO/D2EfPjQG3G46eBqyewrrM4eYHlMmBP8NkV9PMK1ptO+jhyfCI+r4zXaGb0k64Tvn3lWNeEb1851jXh21cudRVq+wre+93AV0+xTmjbWFEfYnL3hJndCqwjfUb/Tnffama3BMtXA4+R7gWwHegBfv9UbSewrtuBOuAbZgaQ8PRojXOAtcG8GHCvuz8+gXWtAD5lZgmgF1jp6a2x0J8XwLXAE+7endE8tM8LwMy+T7rnTb2ZtQN/BZRl1DXh21eOdU349pVjXRO+feVYFxRg+wIuBz4GvGBmm4J5XyAd8KFvYxpqQ0REsir2cxAiInKaFBAiIpKVAkJERLJSQIiISFYKCBERyUoBITIJBKOY/luh6xDJpIAQEZGsFBAi42BmHzWzZ4Ox/79pZlEz6zKz/2lmG83sJ2bWEKx7kZk9E4zRv9bMZgbzF5rZvwcD0m00s5bg6WvM7EEze8nMvmfB1VcihaKAEMmRmb0J+BDpwdkuApLAR0gPsbDR3ZcCT5K+ChfSQyR83t0vBF7ImP894A53X0L6vgyvBvMvBj4LLCY9hv/lob8pkVMo6qE2RPLsXcAlwPrgj/sq4CCQAn4QrHMP8EMzmw7McPcng/l3AQ+YWS3Q6O5rAdy9DyB4vmfdvT2Y3kR6bKCfh/+2RLJTQIjkzoC73P3PXzfT7C9HrHeq8WtOddioP+NxEv3/lALTISaR3P0EWBGM+4+ZzTKzJtL/j1YE63wY+Lm7HwOOmNmVwfyPAU96eiz/djP7QPAcFcFNaEQmHf2FIpIjd/+1mX2R9N3DIsAg8GmgG7jAzDYAx0ifpwD4BLA6CICdBKNskg6Lb5rZXwfPcd0Evg2RnGk0V5EzZGZd7l5T6DpE8k2HmEREJCvtQYiISFbagxARkawUECIikpUCQkREslJAiIhIVgoIERHJ6v8DOeGic6gJE5sAAAAASUVORK5CYII=\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "d2l.train_pytorch_ch7(torch.optim.SGD,{\"lr\":0.004,\"momentum\":0.9},features,labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7-final"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "python37764bitpytorchnotebookconda6e7a8693df0d4d92aca09d521275d23a",
   "display_name": "Python 3.7.7 64-bit ('pytorch_notebook': conda)"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}